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Finding the Fourth Proportional to 22,730.33, 31,367.77 and 12,658.90

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Solution

The fourth proportional to 22,730.33, 31,367.77 and 12,658.90 is: 17,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730.33 : 31,367.77 = 12,658.90 : x
  2. Step 2: Convert to fraction form
    22,730.33/31,367.77 = 12,658.90/x
  3. Step 3: Cross multiply
    22,730.33x = 31,367.77 × 12,658.90
  4. Step 4: Simplify right side
    22,730.33x = 397,081,463.65
  5. Step 5: Solve for x
    x = 397,081,463.65/22,730.33
  6. Step 6: Final answer
    x = 17,469.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.