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Finding the Fourth Proportional to 13,718.40, 20,540.16 and 10,001.28

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Solution

The fourth proportional to 13,718.40, 20,540.16 and 10,001.28 is: 14,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.40 : 20,540.16 = 10,001.28 : x
  2. Step 2: Convert to fraction form
    13,718.40/20,540.16 = 10,001.28/x
  3. Step 3: Cross multiply
    13,718.40x = 20,540.16 × 10,001.28
  4. Step 4: Simplify right side
    13,718.40x = 205,427,891.40
  5. Step 5: Solve for x
    x = 205,427,891.40/13,718.40
  6. Step 6: Final answer
    x = 14,974.62

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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.