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Finding the Fourth Proportional to 20,092.88, 30,139.08 and 9,697.28

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Solution

The fourth proportional to 20,092.88, 30,139.08 and 9,697.28 is: 14,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.88 : 30,139.08 = 9,697.28 : x
  2. Step 2: Convert to fraction form
    20,092.88/30,139.08 = 9,697.28/x
  3. Step 3: Cross multiply
    20,092.88x = 30,139.08 × 9,697.28
  4. Step 4: Simplify right side
    20,092.88x = 292,267,097.70
  5. Step 5: Solve for x
    x = 292,267,097.70/20,092.88
  6. Step 6: Final answer
    x = 14,545.80

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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.