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Finding the Fourth Proportional to 20,139.57, 30,204.80 and 7,655.14

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Solution

The fourth proportional to 20,139.57, 30,204.80 and 7,655.14 is: 11,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.57 : 30,204.80 = 7,655.14 : x
  2. Step 2: Convert to fraction form
    20,139.57/30,204.80 = 7,655.14/x
  3. Step 3: Cross multiply
    20,139.57x = 30,204.80 × 7,655.14
  4. Step 4: Simplify right side
    20,139.57x = 231,222,000.86
  5. Step 5: Solve for x
    x = 231,222,000.86/20,139.57
  6. Step 6: Final answer
    x = 11,480.98

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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.