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Finding the Fourth Proportional to 27,882.26, 38,465.08 and 16,552.25

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Solution

The fourth proportional to 27,882.26, 38,465.08 and 16,552.25 is: 22,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.26 : 38,465.08 = 16,552.25 : x
  2. Step 2: Convert to fraction form
    27,882.26/38,465.08 = 16,552.25/x
  3. Step 3: Cross multiply
    27,882.26x = 38,465.08 × 16,552.25
  4. Step 4: Simplify right side
    27,882.26x = 636,683,530.97
  5. Step 5: Solve for x
    x = 636,683,530.97/27,882.26
  6. Step 6: Final answer
    x = 22,834.72

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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.