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Finding the Fourth Proportional to 22,129.38, 30,537.90 and 13,180.86

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Solution

The fourth proportional to 22,129.38, 30,537.90 and 13,180.86 is: 18,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,129.38 : 30,537.90 = 13,180.86 : x
  2. Step 2: Convert to fraction form
    22,129.38/30,537.90 = 13,180.86/x
  3. Step 3: Cross multiply
    22,129.38x = 30,537.90 × 13,180.86
  4. Step 4: Simplify right side
    22,129.38x = 402,515,784.59
  5. Step 5: Solve for x
    x = 402,515,784.59/22,129.38
  6. Step 6: Final answer
    x = 18,189.20

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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.