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Finding the Fourth Proportional to 22,516.92, 31,073.40 and 12,445.38

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Solution

The fourth proportional to 22,516.92, 31,073.40 and 12,445.38 is: 17,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.92 : 31,073.40 = 12,445.38 : x
  2. Step 2: Convert to fraction form
    22,516.92/31,073.40 = 12,445.38/x
  3. Step 3: Cross multiply
    22,516.92x = 31,073.40 × 12,445.38
  4. Step 4: Simplify right side
    22,516.92x = 386,720,270.89
  5. Step 5: Solve for x
    x = 386,720,270.89/22,516.92
  6. Step 6: Final answer
    x = 17,174.65

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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.