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Finding the Fourth Proportional to 24,321.14, 36,481.72 and 5,853.14

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Solution

The fourth proportional to 24,321.14, 36,481.72 and 5,853.14 is: 8,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.14 : 36,481.72 = 5,853.14 : x
  2. Step 2: Convert to fraction form
    24,321.14/36,481.72 = 5,853.14/x
  3. Step 3: Cross multiply
    24,321.14x = 36,481.72 × 5,853.14
  4. Step 4: Simplify right side
    24,321.14x = 213,532,614.60
  5. Step 5: Solve for x
    x = 213,532,614.60/24,321.14
  6. Step 6: Final answer
    x = 8,779.71

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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.