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Finding the Fourth Proportional to 24,217.68, 36,351.96 and 21,462

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Solution

The fourth proportional to 24,217.68, 36,351.96 and 21,462 is: 32,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,217.68 : 36,351.96 = 21,462 : x
  2. Step 2: Convert to fraction form
    24,217.68/36,351.96 = 21,462/x
  3. Step 3: Cross multiply
    24,217.68x = 36,351.96 × 21,462
  4. Step 4: Simplify right side
    24,217.68x = 780,185,765.52
  5. Step 5: Solve for x
    x = 780,185,765.52/24,217.68
  6. Step 6: Final answer
    x = 32,215.55

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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.