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Finding the Fourth Proportional to 24,195.75, 36,279.49 and 9,387.36

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Solution

The fourth proportional to 24,195.75, 36,279.49 and 9,387.36 is: 14,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,195.75 : 36,279.49 = 9,387.36 : x
  2. Step 2: Convert to fraction form
    24,195.75/36,279.49 = 9,387.36/x
  3. Step 3: Cross multiply
    24,195.75x = 36,279.49 × 9,387.36
  4. Step 4: Simplify right side
    24,195.75x = 340,568,633.25
  5. Step 5: Solve for x
    x = 340,568,633.25/24,195.75
  6. Step 6: Final answer
    x = 14,075.56

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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.