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Finding the Fourth Proportional to 24,187.67, 36,267.49 and 9,379.25

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Solution

The fourth proportional to 24,187.67, 36,267.49 and 9,379.25 is: 14,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.67 : 36,267.49 = 9,379.25 : x
  2. Step 2: Convert to fraction form
    24,187.67/36,267.49 = 9,379.25/x
  3. Step 3: Cross multiply
    24,187.67x = 36,267.49 × 9,379.25
  4. Step 4: Simplify right side
    24,187.67x = 340,161,855.58
  5. Step 5: Solve for x
    x = 340,161,855.58/24,187.67
  6. Step 6: Final answer
    x = 14,063.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.