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Finding the Fourth Proportional to 17,724.29, 26,568.17 and 7,868.21

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Solution

The fourth proportional to 17,724.29, 26,568.17 and 7,868.21 is: 11,794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.29 : 26,568.17 = 7,868.21 : x
  2. Step 2: Convert to fraction form
    17,724.29/26,568.17 = 7,868.21/x
  3. Step 3: Cross multiply
    17,724.29x = 26,568.17 × 7,868.21
  4. Step 4: Simplify right side
    17,724.29x = 209,043,901.53
  5. Step 5: Solve for x
    x = 209,043,901.53/17,724.29
  6. Step 6: Final answer
    x = 11,794.20

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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.