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Finding the Fourth Proportional to 15,697.27, 23,543.31 and 5,167.43

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Solution

The fourth proportional to 15,697.27, 23,543.31 and 5,167.43 is: 7,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.27 : 23,543.31 = 5,167.43 : x
  2. Step 2: Convert to fraction form
    15,697.27/23,543.31 = 5,167.43/x
  3. Step 3: Cross multiply
    15,697.27x = 23,543.31 × 5,167.43
  4. Step 4: Simplify right side
    15,697.27x = 121,658,288.68
  5. Step 5: Solve for x
    x = 121,658,288.68/15,697.27
  6. Step 6: Final answer
    x = 7,750.29

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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.