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Finding the Fourth Proportional to 22,853.00, 34,280.25 and 7,859.97

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Solution

The fourth proportional to 22,853.00, 34,280.25 and 7,859.97 is: 11,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.00 : 34,280.25 = 7,859.97 : x
  2. Step 2: Convert to fraction form
    22,853.00/34,280.25 = 7,859.97/x
  3. Step 3: Cross multiply
    22,853.00x = 34,280.25 × 7,859.97
  4. Step 4: Simplify right side
    22,853.00x = 269,441,773.44
  5. Step 5: Solve for x
    x = 269,441,773.44/22,853.00
  6. Step 6: Final answer
    x = 11,790.21

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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.