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Finding the Fourth Proportional to 24,284.59, 36,423.84 and 6,755.78

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Solution

The fourth proportional to 24,284.59, 36,423.84 and 6,755.78 is: 10,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.59 : 36,423.84 = 6,755.78 : x
  2. Step 2: Convert to fraction form
    24,284.59/36,423.84 = 6,755.78/x
  3. Step 3: Cross multiply
    24,284.59x = 36,423.84 × 6,755.78
  4. Step 4: Simplify right side
    24,284.59x = 246,071,449.80
  5. Step 5: Solve for x
    x = 246,071,449.80/24,284.59
  6. Step 6: Final answer
    x = 10,132.82

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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.