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Finding the Fourth Proportional to 15,223.74, 22,824.54 and 10,281.12

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Solution

The fourth proportional to 15,223.74, 22,824.54 and 10,281.12 is: 15,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.74 : 22,824.54 = 10,281.12 : x
  2. Step 2: Convert to fraction form
    15,223.74/22,824.54 = 10,281.12/x
  3. Step 3: Cross multiply
    15,223.74x = 22,824.54 × 10,281.12
  4. Step 4: Simplify right side
    15,223.74x = 234,661,834.68
  5. Step 5: Solve for x
    x = 234,661,834.68/15,223.74
  6. Step 6: Final answer
    x = 15,414.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.