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Finding the Fourth Proportional to 16,489.68, 22,755.74 and 8,935.87

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Solution

The fourth proportional to 16,489.68, 22,755.74 and 8,935.87 is: 12,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.68 : 22,755.74 = 8,935.87 : x
  2. Step 2: Convert to fraction form
    16,489.68/22,755.74 = 8,935.87/x
  3. Step 3: Cross multiply
    16,489.68x = 22,755.74 × 8,935.87
  4. Step 4: Simplify right side
    16,489.68x = 203,342,275.49
  5. Step 5: Solve for x
    x = 203,342,275.49/16,489.68
  6. Step 6: Final answer
    x = 12,331.49

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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.