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Finding the Fourth Proportional to 15,324.30, 22,996.35 and 8,309.16

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Solution

The fourth proportional to 15,324.30, 22,996.35 and 8,309.16 is: 12,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.30 : 22,996.35 = 8,309.16 : x
  2. Step 2: Convert to fraction form
    15,324.30/22,996.35 = 8,309.16/x
  3. Step 3: Cross multiply
    15,324.30x = 22,996.35 × 8,309.16
  4. Step 4: Simplify right side
    15,324.30x = 191,080,351.57
  5. Step 5: Solve for x
    x = 191,080,351.57/15,324.30
  6. Step 6: Final answer
    x = 12,469.11

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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.