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Finding the Fourth Proportional to 16,318.35, 22,520.71 and 9,148.15

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Solution

The fourth proportional to 16,318.35, 22,520.71 and 9,148.15 is: 12,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,318.35 : 22,520.71 = 9,148.15 : x
  2. Step 2: Convert to fraction form
    16,318.35/22,520.71 = 9,148.15/x
  3. Step 3: Cross multiply
    16,318.35x = 22,520.71 × 9,148.15
  4. Step 4: Simplify right side
    16,318.35x = 206,022,833.19
  5. Step 5: Solve for x
    x = 206,022,833.19/16,318.35
  6. Step 6: Final answer
    x = 12,625.22

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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.