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Finding the Fourth Proportional to 20,077.20, 30,115.80 and 15,411.60

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Solution

The fourth proportional to 20,077.20, 30,115.80 and 15,411.60 is: 23,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.20 : 30,115.80 = 15,411.60 : x
  2. Step 2: Convert to fraction form
    20,077.20/30,115.80 = 15,411.60/x
  3. Step 3: Cross multiply
    20,077.20x = 30,115.80 × 15,411.60
  4. Step 4: Simplify right side
    20,077.20x = 464,132,663.28
  5. Step 5: Solve for x
    x = 464,132,663.28/20,077.20
  6. Step 6: Final answer
    x = 23,117.40

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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.