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Finding the Fourth Proportional to 23,042.78, 31,799.08 and 12,971.34

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Solution

The fourth proportional to 23,042.78, 31,799.08 and 12,971.34 is: 17,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.78 : 31,799.08 = 12,971.34 : x
  2. Step 2: Convert to fraction form
    23,042.78/31,799.08 = 12,971.34/x
  3. Step 3: Cross multiply
    23,042.78x = 31,799.08 × 12,971.34
  4. Step 4: Simplify right side
    23,042.78x = 412,476,694.58
  5. Step 5: Solve for x
    x = 412,476,694.58/23,042.78
  6. Step 6: Final answer
    x = 17,900.48

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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.