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Finding the Fourth Proportional to 15,205.93, 20,982.97 and 8,491.15

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Solution

The fourth proportional to 15,205.93, 20,982.97 and 8,491.15 is: 11,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.93 : 20,982.97 = 8,491.15 : x
  2. Step 2: Convert to fraction form
    15,205.93/20,982.97 = 8,491.15/x
  3. Step 3: Cross multiply
    15,205.93x = 20,982.97 × 8,491.15
  4. Step 4: Simplify right side
    15,205.93x = 178,169,550.72
  5. Step 5: Solve for x
    x = 178,169,550.72/15,205.93
  6. Step 6: Final answer
    x = 11,717.11

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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.