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Finding the Fourth Proportional to 24,163.92, 36,251.64 and 10,314

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Solution

The fourth proportional to 24,163.92, 36,251.64 and 10,314 is: 15,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,163.92 : 36,251.64 = 10,314 : x
  2. Step 2: Convert to fraction form
    24,163.92/36,251.64 = 10,314/x
  3. Step 3: Cross multiply
    24,163.92x = 36,251.64 × 10,314
  4. Step 4: Simplify right side
    24,163.92x = 373,899,414.96
  5. Step 5: Solve for x
    x = 373,899,414.96/24,163.92
  6. Step 6: Final answer
    x = 15,473.46

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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.