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Finding the Fourth Proportional to 13,488.53, 20,233.40 and 5,057.03

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Solution

The fourth proportional to 13,488.53, 20,233.40 and 5,057.03 is: 7,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.53 : 20,233.40 = 5,057.03 : x
  2. Step 2: Convert to fraction form
    13,488.53/20,233.40 = 5,057.03/x
  3. Step 3: Cross multiply
    13,488.53x = 20,233.40 × 5,057.03
  4. Step 4: Simplify right side
    13,488.53x = 102,320,936.10
  5. Step 5: Solve for x
    x = 102,320,936.10/13,488.53
  6. Step 6: Final answer
    x = 7,585.78

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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.