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Finding the Fourth Proportional to 16,287.52, 22,474.37 and 9,213.78

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Solution

The fourth proportional to 16,287.52, 22,474.37 and 9,213.78 is: 12,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.52 : 22,474.37 = 9,213.78 : x
  2. Step 2: Convert to fraction form
    16,287.52/22,474.37 = 9,213.78/x
  3. Step 3: Cross multiply
    16,287.52x = 22,474.37 × 9,213.78
  4. Step 4: Simplify right side
    16,287.52x = 207,073,900.82
  5. Step 5: Solve for x
    x = 207,073,900.82/16,287.52
  6. Step 6: Final answer
    x = 12,713.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.