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Finding the Fourth Proportional to 16,253.31, 24,375.71 and 4,563.80

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Solution

The fourth proportional to 16,253.31, 24,375.71 and 4,563.80 is: 6,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.31 : 24,375.71 = 4,563.80 : x
  2. Step 2: Convert to fraction form
    16,253.31/24,375.71 = 4,563.80/x
  3. Step 3: Cross multiply
    16,253.31x = 24,375.71 × 4,563.80
  4. Step 4: Simplify right side
    16,253.31x = 111,245,754.83
  5. Step 5: Solve for x
    x = 111,245,754.83/16,253.31
  6. Step 6: Final answer
    x = 6,844.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.