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Finding the Fourth Proportional to 13,517.65, 20,280.80 and 6,498.17

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Solution

The fourth proportional to 13,517.65, 20,280.80 and 6,498.17 is: 9,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.65 : 20,280.80 = 6,498.17 : x
  2. Step 2: Convert to fraction form
    13,517.65/20,280.80 = 6,498.17/x
  3. Step 3: Cross multiply
    13,517.65x = 20,280.80 × 6,498.17
  4. Step 4: Simplify right side
    13,517.65x = 131,787,984.73
  5. Step 5: Solve for x
    x = 131,787,984.73/13,517.65
  6. Step 6: Final answer
    x = 9,749.33

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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.