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Finding the Fourth Proportional to 24,046.75, 36,065.67 and 6,514.30

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Solution

The fourth proportional to 24,046.75, 36,065.67 and 6,514.30 is: 9,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046.75 : 36,065.67 = 6,514.30 : x
  2. Step 2: Convert to fraction form
    24,046.75/36,065.67 = 6,514.30/x
  3. Step 3: Cross multiply
    24,046.75x = 36,065.67 × 6,514.30
  4. Step 4: Simplify right side
    24,046.75x = 234,942,594.08
  5. Step 5: Solve for x
    x = 234,942,594.08/24,046.75
  6. Step 6: Final answer
    x = 9,770.24

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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.