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Finding the Fourth Proportional to 15,143.26, 22,715.91 and 5,149.02

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Solution

The fourth proportional to 15,143.26, 22,715.91 and 5,149.02 is: 7,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.26 : 22,715.91 = 5,149.02 : x
  2. Step 2: Convert to fraction form
    15,143.26/22,715.91 = 5,149.02/x
  3. Step 3: Cross multiply
    15,143.26x = 22,715.91 × 5,149.02
  4. Step 4: Simplify right side
    15,143.26x = 116,964,674.91
  5. Step 5: Solve for x
    x = 116,964,674.91/15,143.26
  6. Step 6: Final answer
    x = 7,723.88

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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.