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Finding the Fourth Proportional to 24,340, 33,589.20 and 13,162

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Solution

The fourth proportional to 24,340, 33,589.20 and 13,162 is: 18,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,340 : 33,589.20 = 13,162 : x
  2. Step 2: Convert to fraction form
    24,340/33,589.20 = 13,162/x
  3. Step 3: Cross multiply
    24,340x = 33,589.20 × 13,162
  4. Step 4: Simplify right side
    24,340x = 442,101,050.40
  5. Step 5: Solve for x
    x = 442,101,050.40/24,340
  6. Step 6: Final answer
    x = 18,163.56

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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.