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Finding the Fourth Proportional to 20,102.78, 30,131.49 and 9,702.38

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Solution

The fourth proportional to 20,102.78, 30,131.49 and 9,702.38 is: 14,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.78 : 30,131.49 = 9,702.38 : x
  2. Step 2: Convert to fraction form
    20,102.78/30,131.49 = 9,702.38/x
  3. Step 3: Cross multiply
    20,102.78x = 30,131.49 × 9,702.38
  4. Step 4: Simplify right side
    20,102.78x = 292,347,165.95
  5. Step 5: Solve for x
    x = 292,347,165.95/20,102.78
  6. Step 6: Final answer
    x = 14,542.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.