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Finding the Fourth Proportional to 22,855.98, 34,283.97 and 8,057.10

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Solution

The fourth proportional to 22,855.98, 34,283.97 and 8,057.10 is: 12,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.98 : 34,283.97 = 8,057.10 : x
  2. Step 2: Convert to fraction form
    22,855.98/34,283.97 = 8,057.10/x
  3. Step 3: Cross multiply
    22,855.98x = 34,283.97 × 8,057.10
  4. Step 4: Simplify right side
    22,855.98x = 276,229,374.69
  5. Step 5: Solve for x
    x = 276,229,374.69/22,855.98
  6. Step 6: Final answer
    x = 12,085.65

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Similar ratio
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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.