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Finding the Fourth Proportional to 22,644.86, 31,249.33 and 12,572.98

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Solution

The fourth proportional to 22,644.86, 31,249.33 and 12,572.98 is: 17,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.86 : 31,249.33 = 12,572.98 : x
  2. Step 2: Convert to fraction form
    22,644.86/31,249.33 = 12,572.98/x
  3. Step 3: Cross multiply
    22,644.86x = 31,249.33 × 12,572.98
  4. Step 4: Simplify right side
    22,644.86x = 392,897,091.55
  5. Step 5: Solve for x
    x = 392,897,091.55/22,644.86
  6. Step 6: Final answer
    x = 17,350.39

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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.