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Finding the Fourth Proportional to 23,131.44, 34,709.31 and 12,609

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Solution

The fourth proportional to 23,131.44, 34,709.31 and 12,609 is: 18,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,131.44 : 34,709.31 = 12,609 : x
  2. Step 2: Convert to fraction form
    23,131.44/34,709.31 = 12,609/x
  3. Step 3: Cross multiply
    23,131.44x = 34,709.31 × 12,609
  4. Step 4: Simplify right side
    23,131.44x = 437,649,689.79
  5. Step 5: Solve for x
    x = 437,649,689.79/23,131.44
  6. Step 6: Final answer
    x = 18,920.12

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