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Finding the Fourth Proportional to 20,520.66, 30,781.01 and 15,847.50

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Solution

The fourth proportional to 20,520.66, 30,781.01 and 15,847.50 is: 23,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520.66 : 30,781.01 = 15,847.50 : x
  2. Step 2: Convert to fraction form
    20,520.66/30,781.01 = 15,847.50/x
  3. Step 3: Cross multiply
    20,520.66x = 30,781.01 × 15,847.50
  4. Step 4: Simplify right side
    20,520.66x = 487,802,055.98
  5. Step 5: Solve for x
    x = 487,802,055.98/20,520.66
  6. Step 6: Final answer
    x = 23,771.27

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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.