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Finding the Fourth Proportional to 22,609.92, 31,195.50 and 14,113.38

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Solution

The fourth proportional to 22,609.92, 31,195.50 and 14,113.38 is: 19,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.92 : 31,195.50 = 14,113.38 : x
  2. Step 2: Convert to fraction form
    22,609.92/31,195.50 = 14,113.38/x
  3. Step 3: Cross multiply
    22,609.92x = 31,195.50 × 14,113.38
  4. Step 4: Simplify right side
    22,609.92x = 440,273,945.79
  5. Step 5: Solve for x
    x = 440,273,945.79/22,609.92
  6. Step 6: Final answer
    x = 19,472.60

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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.