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Finding the Fourth Proportional to 12,414.54, 18,627.66 and 5,024.10

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Solution

The fourth proportional to 12,414.54, 18,627.66 and 5,024.10 is: 7,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.54 : 18,627.66 = 5,024.10 : x
  2. Step 2: Convert to fraction form
    12,414.54/18,627.66 = 5,024.10/x
  3. Step 3: Cross multiply
    12,414.54x = 18,627.66 × 5,024.10
  4. Step 4: Simplify right side
    12,414.54x = 93,587,226.61
  5. Step 5: Solve for x
    x = 93,587,226.61/12,414.54
  6. Step 6: Final answer
    x = 7,538.52

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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.