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Finding the Fourth Proportional to 24,218.68, 36,353.46 and 21,463

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Solution

The fourth proportional to 24,218.68, 36,353.46 and 21,463 is: 32,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.68 : 36,353.46 = 21,463 : x
  2. Step 2: Convert to fraction form
    24,218.68/36,353.46 = 21,463/x
  3. Step 3: Cross multiply
    24,218.68x = 36,353.46 × 21,463
  4. Step 4: Simplify right side
    24,218.68x = 780,254,311.98
  5. Step 5: Solve for x
    x = 780,254,311.98/24,218.68
  6. Step 6: Final answer
    x = 32,217.05

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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.