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Finding the Fourth Proportional to 15,141.96, 20,896.25 and 8,428.28

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Solution

The fourth proportional to 15,141.96, 20,896.25 and 8,428.28 is: 11,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.96 : 20,896.25 = 8,428.28 : x
  2. Step 2: Convert to fraction form
    15,141.96/20,896.25 = 8,428.28/x
  3. Step 3: Cross multiply
    15,141.96x = 20,896.25 × 8,428.28
  4. Step 4: Simplify right side
    15,141.96x = 176,119,299.33
  5. Step 5: Solve for x
    x = 176,119,299.33/15,141.96
  6. Step 6: Final answer
    x = 11,631.21

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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.