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Finding the Fourth Proportional to 24,179.48, 33,370.08 and 16,238.24

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Solution

The fourth proportional to 24,179.48, 33,370.08 and 16,238.24 is: 22,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.48 : 33,370.08 = 16,238.24 : x
  2. Step 2: Convert to fraction form
    24,179.48/33,370.08 = 16,238.24/x
  3. Step 3: Cross multiply
    24,179.48x = 33,370.08 × 16,238.24
  4. Step 4: Simplify right side
    24,179.48x = 541,871,367.86
  5. Step 5: Solve for x
    x = 541,871,367.86/24,179.48
  6. Step 6: Final answer
    x = 22,410.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.