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Finding the Fourth Proportional to 13,511.28, 18,642.76 and 8,203.20

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Solution

The fourth proportional to 13,511.28, 18,642.76 and 8,203.20 is: 11,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.28 : 18,642.76 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    13,511.28/18,642.76 = 8,203.20/x
  3. Step 3: Cross multiply
    13,511.28x = 18,642.76 × 8,203.20
  4. Step 4: Simplify right side
    13,511.28x = 152,930,288.83
  5. Step 5: Solve for x
    x = 152,930,288.83/13,511.28
  6. Step 6: Final answer
    x = 11,318.71

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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.