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Finding the Fourth Proportional to 24,311.84, 36,469.80 and 6,781.88

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Solution

The fourth proportional to 24,311.84, 36,469.80 and 6,781.88 is: 10,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.84 : 36,469.80 = 6,781.88 : x
  2. Step 2: Convert to fraction form
    24,311.84/36,469.80 = 6,781.88/x
  3. Step 3: Cross multiply
    24,311.84x = 36,469.80 × 6,781.88
  4. Step 4: Simplify right side
    24,311.84x = 247,333,807.22
  5. Step 5: Solve for x
    x = 247,333,807.22/24,311.84
  6. Step 6: Final answer
    x = 10,173.39

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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.