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Finding the Fourth Proportional to 24,519.84, 36,781.92 and 7,873.80

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Solution

The fourth proportional to 24,519.84, 36,781.92 and 7,873.80 is: 11,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519.84 : 36,781.92 = 7,873.80 : x
  2. Step 2: Convert to fraction form
    24,519.84/36,781.92 = 7,873.80/x
  3. Step 3: Cross multiply
    24,519.84x = 36,781.92 × 7,873.80
  4. Step 4: Simplify right side
    24,519.84x = 289,613,481.70
  5. Step 5: Solve for x
    x = 289,613,481.70/24,519.84
  6. Step 6: Final answer
    x = 11,811.39

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1.5x scale

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.