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Finding the Fourth Proportional to 20,177.60, 30,339.30 and 19,740.20

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Solution

The fourth proportional to 20,177.60, 30,339.30 and 19,740.20 is: 29,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.60 : 30,339.30 = 19,740.20 : x
  2. Step 2: Convert to fraction form
    20,177.60/30,339.30 = 19,740.20/x
  3. Step 3: Cross multiply
    20,177.60x = 30,339.30 × 19,740.20
  4. Step 4: Simplify right side
    20,177.60x = 598,903,849.86
  5. Step 5: Solve for x
    x = 598,903,849.86/20,177.60
  6. Step 6: Final answer
    x = 29,681.62

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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.