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Finding the Fourth Proportional to 16,291.13, 22,481.75 and 8,839.13

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Solution

The fourth proportional to 16,291.13, 22,481.75 and 8,839.13 is: 12,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.13 : 22,481.75 = 8,839.13 : x
  2. Step 2: Convert to fraction form
    16,291.13/22,481.75 = 8,839.13/x
  3. Step 3: Cross multiply
    16,291.13x = 22,481.75 × 8,839.13
  4. Step 4: Simplify right side
    16,291.13x = 198,719,020.57
  5. Step 5: Solve for x
    x = 198,719,020.57/16,291.13
  6. Step 6: Final answer
    x = 12,197.99

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1.5x scale

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.