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Finding the Fourth Proportional to 15,717.49, 23,591.04 and 5,731.89

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Solution

The fourth proportional to 15,717.49, 23,591.04 and 5,731.89 is: 8,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.49 : 23,591.04 = 5,731.89 : x
  2. Step 2: Convert to fraction form
    15,717.49/23,591.04 = 5,731.89/x
  3. Step 3: Cross multiply
    15,717.49x = 23,591.04 × 5,731.89
  4. Step 4: Simplify right side
    15,717.49x = 135,221,246.27
  5. Step 5: Solve for x
    x = 135,221,246.27/15,717.49
  6. Step 6: Final answer
    x = 8,603.23

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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.