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Finding the Fourth Proportional to 16,455.57, 22,708.13 and 9,384.27

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Solution

The fourth proportional to 16,455.57, 22,708.13 and 9,384.27 is: 12,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.57 : 22,708.13 = 9,384.27 : x
  2. Step 2: Convert to fraction form
    16,455.57/22,708.13 = 9,384.27/x
  3. Step 3: Cross multiply
    16,455.57x = 22,708.13 × 9,384.27
  4. Step 4: Simplify right side
    16,455.57x = 213,099,176.19
  5. Step 5: Solve for x
    x = 213,099,176.19/16,455.57
  6. Step 6: Final answer
    x = 12,949.97

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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.