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Finding the Fourth Proportional to 20,402.53, 30,591.45 and 9,155.80

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Solution

The fourth proportional to 20,402.53, 30,591.45 and 9,155.80 is: 13,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.53 : 30,591.45 = 9,155.80 : x
  2. Step 2: Convert to fraction form
    20,402.53/30,591.45 = 9,155.80/x
  3. Step 3: Cross multiply
    20,402.53x = 30,591.45 × 9,155.80
  4. Step 4: Simplify right side
    20,402.53x = 280,089,197.91
  5. Step 5: Solve for x
    x = 280,089,197.91/20,402.53
  6. Step 6: Final answer
    x = 13,728.16

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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.