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Finding the Fourth Proportional to 15,096.17, 20,832.96 and 8,382.23

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Solution

The fourth proportional to 15,096.17, 20,832.96 and 8,382.23 is: 11,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.17 : 20,832.96 = 8,382.23 : x
  2. Step 2: Convert to fraction form
    15,096.17/20,832.96 = 8,382.23/x
  3. Step 3: Cross multiply
    15,096.17x = 20,832.96 × 8,382.23
  4. Step 4: Simplify right side
    15,096.17x = 174,626,662.30
  5. Step 5: Solve for x
    x = 174,626,662.30/15,096.17
  6. Step 6: Final answer
    x = 11,567.61

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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.