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Finding the Fourth Proportional to 15,096.44, 20,833.14 and 8,382.20

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Solution

The fourth proportional to 15,096.44, 20,833.14 and 8,382.20 is: 11,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.44 : 20,833.14 = 8,382.20 : x
  2. Step 2: Convert to fraction form
    15,096.44/20,833.14 = 8,382.20/x
  3. Step 3: Cross multiply
    15,096.44x = 20,833.14 × 8,382.20
  4. Step 4: Simplify right side
    15,096.44x = 174,627,546.11
  5. Step 5: Solve for x
    x = 174,627,546.11/15,096.44
  6. Step 6: Final answer
    x = 11,567.47

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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.