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Finding the Fourth Proportional to 25,470.56, 38,215.92 and 9,892.64

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Solution

The fourth proportional to 25,470.56, 38,215.92 and 9,892.64 is: 14,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.56 : 38,215.92 = 9,892.64 : x
  2. Step 2: Convert to fraction form
    25,470.56/38,215.92 = 9,892.64/x
  3. Step 3: Cross multiply
    25,470.56x = 38,215.92 × 9,892.64
  4. Step 4: Simplify right side
    25,470.56x = 378,056,338.83
  5. Step 5: Solve for x
    x = 378,056,338.83/25,470.56
  6. Step 6: Final answer
    x = 14,842.88

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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.