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Finding the Fourth Proportional to 13,538.53, 20,293.82 and 5,645.28

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Solution

The fourth proportional to 13,538.53, 20,293.82 and 5,645.28 is: 8,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.53 : 20,293.82 = 5,645.28 : x
  2. Step 2: Convert to fraction form
    13,538.53/20,293.82 = 5,645.28/x
  3. Step 3: Cross multiply
    13,538.53x = 20,293.82 × 5,645.28
  4. Step 4: Simplify right side
    13,538.53x = 114,564,296.17
  5. Step 5: Solve for x
    x = 114,564,296.17/13,538.53
  6. Step 6: Final answer
    x = 8,462.09

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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.