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Finding the Fourth Proportional to 13,511.81, 20,262.56 and 6,489.82

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Solution

The fourth proportional to 13,511.81, 20,262.56 and 6,489.82 is: 9,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.81 : 20,262.56 = 6,489.82 : x
  2. Step 2: Convert to fraction form
    13,511.81/20,262.56 = 6,489.82/x
  3. Step 3: Cross multiply
    13,511.81x = 20,262.56 × 6,489.82
  4. Step 4: Simplify right side
    13,511.81x = 131,500,360.02
  5. Step 5: Solve for x
    x = 131,500,360.02/13,511.81
  6. Step 6: Final answer
    x = 9,732.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.