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Finding the Fourth Proportional to 16,253.69, 24,377.78 and 6,395.78

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Solution

The fourth proportional to 16,253.69, 24,377.78 and 6,395.78 is: 9,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.69 : 24,377.78 = 6,395.78 : x
  2. Step 2: Convert to fraction form
    16,253.69/24,377.78 = 6,395.78/x
  3. Step 3: Cross multiply
    16,253.69x = 24,377.78 × 6,395.78
  4. Step 4: Simplify right side
    16,253.69x = 155,914,994.70
  5. Step 5: Solve for x
    x = 155,914,994.70/16,253.69
  6. Step 6: Final answer
    x = 9,592.59

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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.