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Finding the Fourth Proportional to 22,929.67, 31,643.12 and 14,967.19

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Solution

The fourth proportional to 22,929.67, 31,643.12 and 14,967.19 is: 20,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929.67 : 31,643.12 = 14,967.19 : x
  2. Step 2: Convert to fraction form
    22,929.67/31,643.12 = 14,967.19/x
  3. Step 3: Cross multiply
    22,929.67x = 31,643.12 × 14,967.19
  4. Step 4: Simplify right side
    22,929.67x = 473,608,589.23
  5. Step 5: Solve for x
    x = 473,608,589.23/22,929.67
  6. Step 6: Final answer
    x = 20,654.84

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.