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Finding the Fourth Proportional to 20,930.86, 31,520.09 and 15,128.02

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Solution

The fourth proportional to 20,930.86, 31,520.09 and 15,128.02 is: 22,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.86 : 31,520.09 = 15,128.02 : x
  2. Step 2: Convert to fraction form
    20,930.86/31,520.09 = 15,128.02/x
  3. Step 3: Cross multiply
    20,930.86x = 31,520.09 × 15,128.02
  4. Step 4: Simplify right side
    20,930.86x = 476,836,551.92
  5. Step 5: Solve for x
    x = 476,836,551.92/20,930.86
  6. Step 6: Final answer
    x = 22,781.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.