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Finding the Fourth Proportional to 24,451.39, 36,676.78 and 7,811.20

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Solution

The fourth proportional to 24,451.39, 36,676.78 and 7,811.20 is: 11,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.39 : 36,676.78 = 7,811.20 : x
  2. Step 2: Convert to fraction form
    24,451.39/36,676.78 = 7,811.20/x
  3. Step 3: Cross multiply
    24,451.39x = 36,676.78 × 7,811.20
  4. Step 4: Simplify right side
    24,451.39x = 286,489,663.94
  5. Step 5: Solve for x
    x = 286,489,663.94/24,451.39
  6. Step 6: Final answer
    x = 11,716.70

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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.