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Finding the Fourth Proportional to 24,514.10, 36,766.31 and 6,740.18

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Solution

The fourth proportional to 24,514.10, 36,766.31 and 6,740.18 is: 10,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.10 : 36,766.31 = 6,740.18 : x
  2. Step 2: Convert to fraction form
    24,514.10/36,766.31 = 6,740.18/x
  3. Step 3: Cross multiply
    24,514.10x = 36,766.31 × 6,740.18
  4. Step 4: Simplify right side
    24,514.10x = 247,811,329.80
  5. Step 5: Solve for x
    x = 247,811,329.80/24,514.10
  6. Step 6: Final answer
    x = 10,108.93

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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.