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Finding the Fourth Proportional to 22,672.50, 31,286.41 and 14,178.43

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Solution

The fourth proportional to 22,672.50, 31,286.41 and 14,178.43 is: 19,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.50 : 31,286.41 = 14,178.43 : x
  2. Step 2: Convert to fraction form
    22,672.50/31,286.41 = 14,178.43/x
  3. Step 3: Cross multiply
    22,672.50x = 31,286.41 × 14,178.43
  4. Step 4: Simplify right side
    22,672.50x = 443,592,174.14
  5. Step 5: Solve for x
    x = 443,592,174.14/22,672.50
  6. Step 6: Final answer
    x = 19,565.21

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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.