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Finding the Fourth Proportional to 13,456.08, 20,187.18 and 4,097.42

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Solution

The fourth proportional to 13,456.08, 20,187.18 and 4,097.42 is: 6,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.08 : 20,187.18 = 4,097.42 : x
  2. Step 2: Convert to fraction form
    13,456.08/20,187.18 = 4,097.42/x
  3. Step 3: Cross multiply
    13,456.08x = 20,187.18 × 4,097.42
  4. Step 4: Simplify right side
    13,456.08x = 82,715,355.08
  5. Step 5: Solve for x
    x = 82,715,355.08/13,456.08
  6. Step 6: Final answer
    x = 6,147.06

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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.