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Finding the Fourth Proportional to 22,575.68, 33,871.20 and 11,624

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Solution

The fourth proportional to 22,575.68, 33,871.20 and 11,624 is: 17,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.68 : 33,871.20 = 11,624 : x
  2. Step 2: Convert to fraction form
    22,575.68/33,871.20 = 11,624/x
  3. Step 3: Cross multiply
    22,575.68x = 33,871.20 × 11,624
  4. Step 4: Simplify right side
    22,575.68x = 393,718,828.80
  5. Step 5: Solve for x
    x = 393,718,828.80/22,575.68
  6. Step 6: Final answer
    x = 17,439.95

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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.