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Finding the Fourth Proportional to 13,468.62, 20,202.96 and 6,538.26

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Solution

The fourth proportional to 13,468.62, 20,202.96 and 6,538.26 is: 9,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.62 : 20,202.96 = 6,538.26 : x
  2. Step 2: Convert to fraction form
    13,468.62/20,202.96 = 6,538.26/x
  3. Step 3: Cross multiply
    13,468.62x = 20,202.96 × 6,538.26
  4. Step 4: Simplify right side
    13,468.62x = 132,092,205.25
  5. Step 5: Solve for x
    x = 132,092,205.25/13,468.62
  6. Step 6: Final answer
    x = 9,807.40

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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.