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Finding the Fourth Proportional to 15,142.74, 20,896.81 and 8,428.26

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Solution

The fourth proportional to 15,142.74, 20,896.81 and 8,428.26 is: 11,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.74 : 20,896.81 = 8,428.26 : x
  2. Step 2: Convert to fraction form
    15,142.74/20,896.81 = 8,428.26/x
  3. Step 3: Cross multiply
    15,142.74x = 20,896.81 × 8,428.26
  4. Step 4: Simplify right side
    15,142.74x = 176,123,747.85
  5. Step 5: Solve for x
    x = 176,123,747.85/15,142.74
  6. Step 6: Final answer
    x = 11,630.90

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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.