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Finding the Fourth Proportional to 15,957.38, 22,017.85 and 9,242.61

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Solution

The fourth proportional to 15,957.38, 22,017.85 and 9,242.61 is: 12,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957.38 : 22,017.85 = 9,242.61 : x
  2. Step 2: Convert to fraction form
    15,957.38/22,017.85 = 9,242.61/x
  3. Step 3: Cross multiply
    15,957.38x = 22,017.85 × 9,242.61
  4. Step 4: Simplify right side
    15,957.38x = 203,502,400.59
  5. Step 5: Solve for x
    x = 203,502,400.59/15,957.38
  6. Step 6: Final answer
    x = 12,752.87

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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.