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Finding the Fourth Proportional to 22,839.40, 31,517.08 and 12,765.83

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Solution

The fourth proportional to 22,839.40, 31,517.08 and 12,765.83 is: 17,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839.40 : 31,517.08 = 12,765.83 : x
  2. Step 2: Convert to fraction form
    22,839.40/31,517.08 = 12,765.83/x
  3. Step 3: Cross multiply
    22,839.40x = 31,517.08 × 12,765.83
  4. Step 4: Simplify right side
    22,839.40x = 402,341,685.38
  5. Step 5: Solve for x
    x = 402,341,685.38/22,839.40
  6. Step 6: Final answer
    x = 17,616.13

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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.