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Finding the Fourth Proportional to 16,230.29, 22,397.81 and 9,158.21

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Solution

The fourth proportional to 16,230.29, 22,397.81 and 9,158.21 is: 12,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.29 : 22,397.81 = 9,158.21 : x
  2. Step 2: Convert to fraction form
    16,230.29/22,397.81 = 9,158.21/x
  3. Step 3: Cross multiply
    16,230.29x = 22,397.81 × 9,158.21
  4. Step 4: Simplify right side
    16,230.29x = 205,123,847.52
  5. Step 5: Solve for x
    x = 205,123,847.52/16,230.29
  6. Step 6: Final answer
    x = 12,638.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.