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Finding the Fourth Proportional to 16,263, 24,375.92 and 7,385.09

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Solution

The fourth proportional to 16,263, 24,375.92 and 7,385.09 is: 11,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263 : 24,375.92 = 7,385.09 : x
  2. Step 2: Convert to fraction form
    16,263/24,375.92 = 7,385.09/x
  3. Step 3: Cross multiply
    16,263x = 24,375.92 × 7,385.09
  4. Step 4: Simplify right side
    16,263x = 180,018,387.05
  5. Step 5: Solve for x
    x = 180,018,387.05/16,263
  6. Step 6: Final answer
    x = 11,069.20

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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.