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Finding the Fourth Proportional to 15,175.40, 22,749.84 and 8,159.24

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Solution

The fourth proportional to 15,175.40, 22,749.84 and 8,159.24 is: 12,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.40 : 22,749.84 = 8,159.24 : x
  2. Step 2: Convert to fraction form
    15,175.40/22,749.84 = 8,159.24/x
  3. Step 3: Cross multiply
    15,175.40x = 22,749.84 × 8,159.24
  4. Step 4: Simplify right side
    15,175.40x = 185,621,404.52
  5. Step 5: Solve for x
    x = 185,621,404.52/15,175.40
  6. Step 6: Final answer
    x = 12,231.73

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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.