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Finding the Fourth Proportional to 20,966.65, 31,450.22 and 8,319.51

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Solution

The fourth proportional to 20,966.65, 31,450.22 and 8,319.51 is: 12,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,966.65 : 31,450.22 = 8,319.51 : x
  2. Step 2: Convert to fraction form
    20,966.65/31,450.22 = 8,319.51/x
  3. Step 3: Cross multiply
    20,966.65x = 31,450.22 × 8,319.51
  4. Step 4: Simplify right side
    20,966.65x = 261,650,456.19
  5. Step 5: Solve for x
    x = 261,650,456.19/20,966.65
  6. Step 6: Final answer
    x = 12,479.37

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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.