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Finding the Fourth Proportional to 15,096.53, 20,833.74 and 8,382.26

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Solution

The fourth proportional to 15,096.53, 20,833.74 and 8,382.26 is: 11,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.53 : 20,833.74 = 8,382.26 : x
  2. Step 2: Convert to fraction form
    15,096.53/20,833.74 = 8,382.26/x
  3. Step 3: Cross multiply
    15,096.53x = 20,833.74 × 8,382.26
  4. Step 4: Simplify right side
    15,096.53x = 174,633,679.37
  5. Step 5: Solve for x
    x = 174,633,679.37/15,096.53
  6. Step 6: Final answer
    x = 11,567.81

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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.