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Finding the Fourth Proportional to 23,753.52, 35,633.93 and 8,167.50

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Solution

The fourth proportional to 23,753.52, 35,633.93 and 8,167.50 is: 12,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.52 : 35,633.93 = 8,167.50 : x
  2. Step 2: Convert to fraction form
    23,753.52/35,633.93 = 8,167.50/x
  3. Step 3: Cross multiply
    23,753.52x = 35,633.93 × 8,167.50
  4. Step 4: Simplify right side
    23,753.52x = 291,040,082.44
  5. Step 5: Solve for x
    x = 291,040,082.44/23,753.52
  6. Step 6: Final answer
    x = 12,252.50

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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.