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Finding the Fourth Proportional to 22,889.94, 31,584.56 and 12,818.80

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Solution

The fourth proportional to 22,889.94, 31,584.56 and 12,818.80 is: 17,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,889.94 : 31,584.56 = 12,818.80 : x
  2. Step 2: Convert to fraction form
    22,889.94/31,584.56 = 12,818.80/x
  3. Step 3: Cross multiply
    22,889.94x = 31,584.56 × 12,818.80
  4. Step 4: Simplify right side
    22,889.94x = 404,876,157.73
  5. Step 5: Solve for x
    x = 404,876,157.73/22,889.94
  6. Step 6: Final answer
    x = 17,687.95

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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.