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Finding the Fourth Proportional to 20,505.13, 30,757.14 and 5,713.45

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Solution

The fourth proportional to 20,505.13, 30,757.14 and 5,713.45 is: 8,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.13 : 30,757.14 = 5,713.45 : x
  2. Step 2: Convert to fraction form
    20,505.13/30,757.14 = 5,713.45/x
  3. Step 3: Cross multiply
    20,505.13x = 30,757.14 × 5,713.45
  4. Step 4: Simplify right side
    20,505.13x = 175,729,381.53
  5. Step 5: Solve for x
    x = 175,729,381.53/20,505.13
  6. Step 6: Final answer
    x = 8,570.02

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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.