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Finding the Fourth Proportional to 27,691.50, 41,554.53 and 11,275.50

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Solution

The fourth proportional to 27,691.50, 41,554.53 and 11,275.50 is: 16,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.50 : 41,554.53 = 11,275.50 : x
  2. Step 2: Convert to fraction form
    27,691.50/41,554.53 = 11,275.50/x
  3. Step 3: Cross multiply
    27,691.50x = 41,554.53 × 11,275.50
  4. Step 4: Simplify right side
    27,691.50x = 468,548,103.02
  5. Step 5: Solve for x
    x = 468,548,103.02/27,691.50
  6. Step 6: Final answer
    x = 16,920.29

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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.