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Finding the Fourth Proportional to 22,614.38, 31,207.84 and 13,181.12

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Solution

The fourth proportional to 22,614.38, 31,207.84 and 13,181.12 is: 18,189.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.38 : 31,207.84 = 13,181.12 : x
  2. Step 2: Convert to fraction form
    22,614.38/31,207.84 = 13,181.12/x
  3. Step 3: Cross multiply
    22,614.38x = 31,207.84 × 13,181.12
  4. Step 4: Simplify right side
    22,614.38x = 411,354,283.98
  5. Step 5: Solve for x
    x = 411,354,283.98/22,614.38
  6. Step 6: Final answer
    x = 18,189.94

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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.