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Finding the Fourth Proportional to 27,575.68, 38,043.40 and 16,227.18

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Solution

The fourth proportional to 27,575.68, 38,043.40 and 16,227.18 is: 22,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.68 : 38,043.40 = 16,227.18 : x
  2. Step 2: Convert to fraction form
    27,575.68/38,043.40 = 16,227.18/x
  3. Step 3: Cross multiply
    27,575.68x = 38,043.40 × 16,227.18
  4. Step 4: Simplify right side
    27,575.68x = 617,337,099.61
  5. Step 5: Solve for x
    x = 617,337,099.61/27,575.68
  6. Step 6: Final answer
    x = 22,387.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.