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Finding the Fourth Proportional to 22,982.62, 34,474.92 and 7,187.95

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Solution

The fourth proportional to 22,982.62, 34,474.92 and 7,187.95 is: 10,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.62 : 34,474.92 = 7,187.95 : x
  2. Step 2: Convert to fraction form
    22,982.62/34,474.92 = 7,187.95/x
  3. Step 3: Cross multiply
    22,982.62x = 34,474.92 × 7,187.95
  4. Step 4: Simplify right side
    22,982.62x = 247,804,001.21
  5. Step 5: Solve for x
    x = 247,804,001.21/22,982.62
  6. Step 6: Final answer
    x = 10,782.23

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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.