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Finding the Fourth Proportional to 22,959.80, 31,682.09 and 12,889.35

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Solution

The fourth proportional to 22,959.80, 31,682.09 and 12,889.35 is: 17,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.80 : 31,682.09 = 12,889.35 : x
  2. Step 2: Convert to fraction form
    22,959.80/31,682.09 = 12,889.35/x
  3. Step 3: Cross multiply
    22,959.80x = 31,682.09 × 12,889.35
  4. Step 4: Simplify right side
    22,959.80x = 408,361,546.74
  5. Step 5: Solve for x
    x = 408,361,546.74/22,959.80
  6. Step 6: Final answer
    x = 17,785.94

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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.