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Finding the Fourth Proportional to 16,517.83, 22,789.05 and 9,439.24

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Solution

The fourth proportional to 16,517.83, 22,789.05 and 9,439.24 is: 13,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.83 : 22,789.05 = 9,439.24 : x
  2. Step 2: Convert to fraction form
    16,517.83/22,789.05 = 9,439.24/x
  3. Step 3: Cross multiply
    16,517.83x = 22,789.05 × 9,439.24
  4. Step 4: Simplify right side
    16,517.83x = 215,111,312.32
  5. Step 5: Solve for x
    x = 215,111,312.32/16,517.83
  6. Step 6: Final answer
    x = 13,022.98

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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.