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Finding the Fourth Proportional to 20,512.96, 30,773.55 and 6,475.15

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Solution

The fourth proportional to 20,512.96, 30,773.55 and 6,475.15 is: 9,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.96 : 30,773.55 = 6,475.15 : x
  2. Step 2: Convert to fraction form
    20,512.96/30,773.55 = 6,475.15/x
  3. Step 3: Cross multiply
    20,512.96x = 30,773.55 × 6,475.15
  4. Step 4: Simplify right side
    20,512.96x = 199,263,352.28
  5. Step 5: Solve for x
    x = 199,263,352.28/20,512.96
  6. Step 6: Final answer
    x = 9,714.02

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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.