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Finding the Fourth Proportional to 22,939.38, 31,659.89 and 12,871.89

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Solution

The fourth proportional to 22,939.38, 31,659.89 and 12,871.89 is: 17,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939.38 : 31,659.89 = 12,871.89 : x
  2. Step 2: Convert to fraction form
    22,939.38/31,659.89 = 12,871.89/x
  3. Step 3: Cross multiply
    22,939.38x = 31,659.89 × 12,871.89
  4. Step 4: Simplify right side
    22,939.38x = 407,522,621.49
  5. Step 5: Solve for x
    x = 407,522,621.49/22,939.38
  6. Step 6: Final answer
    x = 17,765.20

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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.