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Finding the Fourth Proportional to 24,432, 33,716.34 and 13,254

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Solution

The fourth proportional to 24,432, 33,716.34 and 13,254 is: 18,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,432 : 33,716.34 = 13,254 : x
  2. Step 2: Convert to fraction form
    24,432/33,716.34 = 13,254/x
  3. Step 3: Cross multiply
    24,432x = 33,716.34 × 13,254
  4. Step 4: Simplify right side
    24,432x = 446,876,370.36
  5. Step 5: Solve for x
    x = 446,876,370.36/24,432
  6. Step 6: Final answer
    x = 18,290.62

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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.