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Finding the Fourth Proportional to 15,178.52, 22,762.31 and 6,414.12

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Solution

The fourth proportional to 15,178.52, 22,762.31 and 6,414.12 is: 9,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.52 : 22,762.31 = 6,414.12 : x
  2. Step 2: Convert to fraction form
    15,178.52/22,762.31 = 6,414.12/x
  3. Step 3: Cross multiply
    15,178.52x = 22,762.31 × 6,414.12
  4. Step 4: Simplify right side
    15,178.52x = 146,000,155.75
  5. Step 5: Solve for x
    x = 146,000,155.75/15,178.52
  6. Step 6: Final answer
    x = 9,618.86

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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.