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Finding the Fourth Proportional to 22,954.16, 31,675.78 and 12,883.44

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Solution

The fourth proportional to 22,954.16, 31,675.78 and 12,883.44 is: 17,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.16 : 31,675.78 = 12,883.44 : x
  2. Step 2: Convert to fraction form
    22,954.16/31,675.78 = 12,883.44/x
  3. Step 3: Cross multiply
    22,954.16x = 31,675.78 × 12,883.44
  4. Step 4: Simplify right side
    22,954.16x = 408,093,011.08
  5. Step 5: Solve for x
    x = 408,093,011.08/22,954.16
  6. Step 6: Final answer
    x = 17,778.61

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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.