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Finding the Fourth Proportional to 27,920.98, 41,894.97 and 13,882.42

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Solution

The fourth proportional to 27,920.98, 41,894.97 and 13,882.42 is: 20,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.98 : 41,894.97 = 13,882.42 : x
  2. Step 2: Convert to fraction form
    27,920.98/41,894.97 = 13,882.42/x
  3. Step 3: Cross multiply
    27,920.98x = 41,894.97 × 13,882.42
  4. Step 4: Simplify right side
    27,920.98x = 581,603,569.43
  5. Step 5: Solve for x
    x = 581,603,569.43/27,920.98
  6. Step 6: Final answer
    x = 20,830.34

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1.5x scale

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.