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Finding the Fourth Proportional to 19,974.31, 29,972.92 and 8,125.90

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Solution

The fourth proportional to 19,974.31, 29,972.92 and 8,125.90 is: 12,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.31 : 29,972.92 = 8,125.90 : x
  2. Step 2: Convert to fraction form
    19,974.31/29,972.92 = 8,125.90/x
  3. Step 3: Cross multiply
    19,974.31x = 29,972.92 × 8,125.90
  4. Step 4: Simplify right side
    19,974.31x = 243,556,863.96
  5. Step 5: Solve for x
    x = 243,556,863.96/19,974.31
  6. Step 6: Final answer
    x = 12,193.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.