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Finding the Fourth Proportional to 15,227.52, 22,838.14 and 5,864.33

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Solution

The fourth proportional to 15,227.52, 22,838.14 and 5,864.33 is: 8,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.52 : 22,838.14 = 5,864.33 : x
  2. Step 2: Convert to fraction form
    15,227.52/22,838.14 = 5,864.33/x
  3. Step 3: Cross multiply
    15,227.52x = 22,838.14 × 5,864.33
  4. Step 4: Simplify right side
    15,227.52x = 133,930,389.55
  5. Step 5: Solve for x
    x = 133,930,389.55/15,227.52
  6. Step 6: Final answer
    x = 8,795.29

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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.