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Finding the Fourth Proportional to 22,827.66, 34,245.81 and 8,034.90

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Solution

The fourth proportional to 22,827.66, 34,245.81 and 8,034.90 is: 12,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.66 : 34,245.81 = 8,034.90 : x
  2. Step 2: Convert to fraction form
    22,827.66/34,245.81 = 8,034.90/x
  3. Step 3: Cross multiply
    22,827.66x = 34,245.81 × 8,034.90
  4. Step 4: Simplify right side
    22,827.66x = 275,161,658.77
  5. Step 5: Solve for x
    x = 275,161,658.77/22,827.66
  6. Step 6: Final answer
    x = 12,053.87

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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.