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Finding the Fourth Proportional to 22,970.43, 31,691.27 and 12,897.47

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Solution

The fourth proportional to 22,970.43, 31,691.27 and 12,897.47 is: 17,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.43 : 31,691.27 = 12,897.47 : x
  2. Step 2: Convert to fraction form
    22,970.43/31,691.27 = 12,897.47/x
  3. Step 3: Cross multiply
    22,970.43x = 31,691.27 × 12,897.47
  4. Step 4: Simplify right side
    22,970.43x = 408,737,315.56
  5. Step 5: Solve for x
    x = 408,737,315.56/22,970.43
  6. Step 6: Final answer
    x = 17,794.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.