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Finding the Fourth Proportional to 22,046.25, 30,423 and 11,974.47

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Solution

The fourth proportional to 22,046.25, 30,423 and 11,974.47 is: 16,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.25 : 30,423 = 11,974.47 : x
  2. Step 2: Convert to fraction form
    22,046.25/30,423 = 11,974.47/x
  3. Step 3: Cross multiply
    22,046.25x = 30,423 × 11,974.47
  4. Step 4: Simplify right side
    22,046.25x = 364,299,300.81
  5. Step 5: Solve for x
    x = 364,299,300.81/22,046.25
  6. Step 6: Final answer
    x = 16,524.32

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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.