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Finding the Fourth Proportional to 24,221.40, 36,310.12 and 21,597

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Solution

The fourth proportional to 24,221.40, 36,310.12 and 21,597 is: 32,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.40 : 36,310.12 = 21,597 : x
  2. Step 2: Convert to fraction form
    24,221.40/36,310.12 = 21,597/x
  3. Step 3: Cross multiply
    24,221.40x = 36,310.12 × 21,597
  4. Step 4: Simplify right side
    24,221.40x = 784,189,661.64
  5. Step 5: Solve for x
    x = 784,189,661.64/24,221.40
  6. Step 6: Final answer
    x = 32,375.90

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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.