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Finding the Fourth Proportional to 22,132.86, 30,542.38 and 12,572.72

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Solution

The fourth proportional to 22,132.86, 30,542.38 and 12,572.72 is: 17,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,132.86 : 30,542.38 = 12,572.72 : x
  2. Step 2: Convert to fraction form
    22,132.86/30,542.38 = 12,572.72/x
  3. Step 3: Cross multiply
    22,132.86x = 30,542.38 × 12,572.72
  4. Step 4: Simplify right side
    22,132.86x = 384,000,791.87
  5. Step 5: Solve for x
    x = 384,000,791.87/22,132.86
  6. Step 6: Final answer
    x = 17,349.80

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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.