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Finding the Fourth Proportional to 20,174.60, 30,261.90 and 5,385.80

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Solution

The fourth proportional to 20,174.60, 30,261.90 and 5,385.80 is: 8,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.60 : 30,261.90 = 5,385.80 : x
  2. Step 2: Convert to fraction form
    20,174.60/30,261.90 = 5,385.80/x
  3. Step 3: Cross multiply
    20,174.60x = 30,261.90 × 5,385.80
  4. Step 4: Simplify right side
    20,174.60x = 162,984,541.02
  5. Step 5: Solve for x
    x = 162,984,541.02/20,174.60
  6. Step 6: Final answer
    x = 8,078.70

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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.