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Finding the Fourth Proportional to 22,940.97, 31,657.10 and 12,869.34

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Solution

The fourth proportional to 22,940.97, 31,657.10 and 12,869.34 is: 17,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.97 : 31,657.10 = 12,869.34 : x
  2. Step 2: Convert to fraction form
    22,940.97/31,657.10 = 12,869.34/x
  3. Step 3: Cross multiply
    22,940.97x = 31,657.10 × 12,869.34
  4. Step 4: Simplify right side
    22,940.97x = 407,405,918.97
  5. Step 5: Solve for x
    x = 407,405,918.97/22,940.97
  6. Step 6: Final answer
    x = 17,758.88

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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.