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Finding the Fourth Proportional to 22,805.40, 34,194.13 and 8,016.02

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Solution

The fourth proportional to 22,805.40, 34,194.13 and 8,016.02 is: 12,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.40 : 34,194.13 = 8,016.02 : x
  2. Step 2: Convert to fraction form
    22,805.40/34,194.13 = 8,016.02/x
  3. Step 3: Cross multiply
    22,805.40x = 34,194.13 × 8,016.02
  4. Step 4: Simplify right side
    22,805.40x = 274,100,618.91
  5. Step 5: Solve for x
    x = 274,100,618.91/22,805.40
  6. Step 6: Final answer
    x = 12,019.11

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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.