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Finding the Fourth Proportional to 13,661.87, 18,853.66 and 8,284.48

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Solution

The fourth proportional to 13,661.87, 18,853.66 and 8,284.48 is: 11,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.87 : 18,853.66 = 8,284.48 : x
  2. Step 2: Convert to fraction form
    13,661.87/18,853.66 = 8,284.48/x
  3. Step 3: Cross multiply
    13,661.87x = 18,853.66 × 8,284.48
  4. Step 4: Simplify right side
    13,661.87x = 156,192,732.42
  5. Step 5: Solve for x
    x = 156,192,732.42/13,661.87
  6. Step 6: Final answer
    x = 11,432.75

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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.