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Finding the Fourth Proportional to 13,734.13, 18,952.99 and 7,766.97

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Solution

The fourth proportional to 13,734.13, 18,952.99 and 7,766.97 is: 10,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.13 : 18,952.99 = 7,766.97 : x
  2. Step 2: Convert to fraction form
    13,734.13/18,952.99 = 7,766.97/x
  3. Step 3: Cross multiply
    13,734.13x = 18,952.99 × 7,766.97
  4. Step 4: Simplify right side
    13,734.13x = 147,207,265.91
  5. Step 5: Solve for x
    x = 147,207,265.91/13,734.13
  6. Step 6: Final answer
    x = 10,718.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.