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Finding the Fourth Proportional to 16,478.78, 24,700.68 and 5,382.49

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Solution

The fourth proportional to 16,478.78, 24,700.68 and 5,382.49 is: 8,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.78 : 24,700.68 = 5,382.49 : x
  2. Step 2: Convert to fraction form
    16,478.78/24,700.68 = 5,382.49/x
  3. Step 3: Cross multiply
    16,478.78x = 24,700.68 × 5,382.49
  4. Step 4: Simplify right side
    16,478.78x = 132,951,163.09
  5. Step 5: Solve for x
    x = 132,951,163.09/16,478.78
  6. Step 6: Final answer
    x = 8,068.02

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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.