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Finding the Fourth Proportional to 24,356.80, 36,546.80 and 16,871.90

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Solution

The fourth proportional to 24,356.80, 36,546.80 and 16,871.90 is: 25,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.80 : 36,546.80 = 16,871.90 : x
  2. Step 2: Convert to fraction form
    24,356.80/36,546.80 = 16,871.90/x
  3. Step 3: Cross multiply
    24,356.80x = 36,546.80 × 16,871.90
  4. Step 4: Simplify right side
    24,356.80x = 616,613,687.83
  5. Step 5: Solve for x
    x = 616,613,687.83/24,356.80
  6. Step 6: Final answer
    x = 25,315.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.