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Finding the Fourth Proportional to 22,723,377.30, 31,359,034.42 and 13,438,906.20

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Solution

The fourth proportional to 22,723,377.30, 31,359,034.42 and 13,438,906.20 is: 18,546,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723,377.30 : 31,359,034.42 = 13,438,906.20 : x
  2. Step 2: Convert to fraction form
    22,723,377.30/31,359,034.42 = 13,438,906.20/x
  3. Step 3: Cross multiply
    22,723,377.30x = 31,359,034.42 × 13,438,906.20
  4. Step 4: Simplify right side
    22,723,377.30x = 421,431,122,092,951.38
  5. Step 5: Solve for x
    x = 421,431,122,092,951.38/22,723,377.30
  6. Step 6: Final answer
    x = 18,546,148.16

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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.