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Finding the Fourth Proportional to 24,309, 33,546.42 and 13,131

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Solution

The fourth proportional to 24,309, 33,546.42 and 13,131 is: 18,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309 : 33,546.42 = 13,131 : x
  2. Step 2: Convert to fraction form
    24,309/33,546.42 = 13,131/x
  3. Step 3: Cross multiply
    24,309x = 33,546.42 × 13,131
  4. Step 4: Simplify right side
    24,309x = 440,498,041.02
  5. Step 5: Solve for x
    x = 440,498,041.02/24,309
  6. Step 6: Final answer
    x = 18,120.78

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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.