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Finding the Fourth Proportional to 24,511.66, 36,770.88 and 7,867.78

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Solution

The fourth proportional to 24,511.66, 36,770.88 and 7,867.78 is: 11,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.66 : 36,770.88 = 7,867.78 : x
  2. Step 2: Convert to fraction form
    24,511.66/36,770.88 = 7,867.78/x
  3. Step 3: Cross multiply
    24,511.66x = 36,770.88 × 7,867.78
  4. Step 4: Simplify right side
    24,511.66x = 289,305,194.25
  5. Step 5: Solve for x
    x = 289,305,194.25/24,511.66
  6. Step 6: Final answer
    x = 11,802.76

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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.