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Finding the Fourth Proportional to 22,882.38, 31,553.19 and 14,367.66

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Solution

The fourth proportional to 22,882.38, 31,553.19 and 14,367.66 is: 19,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.38 : 31,553.19 = 14,367.66 : x
  2. Step 2: Convert to fraction form
    22,882.38/31,553.19 = 14,367.66/x
  3. Step 3: Cross multiply
    22,882.38x = 31,553.19 × 14,367.66
  4. Step 4: Simplify right side
    22,882.38x = 453,345,505.84
  5. Step 5: Solve for x
    x = 453,345,505.84/22,882.38
  6. Step 6: Final answer
    x = 19,811.99

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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.