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Finding the Fourth Proportional to 16,516.64, 24,732.63 and 9,112.83

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Solution

The fourth proportional to 16,516.64, 24,732.63 and 9,112.83 is: 13,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.64 : 24,732.63 = 9,112.83 : x
  2. Step 2: Convert to fraction form
    16,516.64/24,732.63 = 9,112.83/x
  3. Step 3: Cross multiply
    16,516.64x = 24,732.63 × 9,112.83
  4. Step 4: Simplify right side
    16,516.64x = 225,384,252.64
  5. Step 5: Solve for x
    x = 225,384,252.64/16,516.64
  6. Step 6: Final answer
    x = 13,645.89

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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.