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Finding the Fourth Proportional to 15,758.14, 23,614.92 and 8,741.24

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Solution

The fourth proportional to 15,758.14, 23,614.92 and 8,741.24 is: 13,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.14 : 23,614.92 = 8,741.24 : x
  2. Step 2: Convert to fraction form
    15,758.14/23,614.92 = 8,741.24/x
  3. Step 3: Cross multiply
    15,758.14x = 23,614.92 × 8,741.24
  4. Step 4: Simplify right side
    15,758.14x = 206,423,683.30
  5. Step 5: Solve for x
    x = 206,423,683.30/15,758.14
  6. Step 6: Final answer
    x = 13,099.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.