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Finding the Fourth Proportional to 24,115.40, 36,175.62 and 7,474.76

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Solution

The fourth proportional to 24,115.40, 36,175.62 and 7,474.76 is: 11,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.40 : 36,175.62 = 7,474.76 : x
  2. Step 2: Convert to fraction form
    24,115.40/36,175.62 = 7,474.76/x
  3. Step 3: Cross multiply
    24,115.40x = 36,175.62 × 7,474.76
  4. Step 4: Simplify right side
    24,115.40x = 270,404,077.35
  5. Step 5: Solve for x
    x = 270,404,077.35/24,115.40
  6. Step 6: Final answer
    x = 11,212.92

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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.