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Finding the Fourth Proportional to 22,129.14, 30,538.20 and 12,193.14

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Solution

The fourth proportional to 22,129.14, 30,538.20 and 12,193.14 is: 16,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.14 : 30,538.20 = 12,193.14 : x
  2. Step 2: Convert to fraction form
    22,129.14/30,538.20 = 12,193.14/x
  3. Step 3: Cross multiply
    22,129.14x = 30,538.20 × 12,193.14
  4. Step 4: Simplify right side
    22,129.14x = 372,356,547.95
  5. Step 5: Solve for x
    x = 372,356,547.95/22,129.14
  6. Step 6: Final answer
    x = 16,826.53

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Half scale
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Double scale
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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.