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Finding the Fourth Proportional to 24,233.89, 33,452.10 and 16,164.61

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Solution

The fourth proportional to 24,233.89, 33,452.10 and 16,164.61 is: 22,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,233.89 : 33,452.10 = 16,164.61 : x
  2. Step 2: Convert to fraction form
    24,233.89/33,452.10 = 16,164.61/x
  3. Step 3: Cross multiply
    24,233.89x = 33,452.10 × 16,164.61
  4. Step 4: Simplify right side
    24,233.89x = 540,740,150.18
  5. Step 5: Solve for x
    x = 540,740,150.18/24,233.89
  6. Step 6: Final answer
    x = 22,313.39

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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.