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Finding the Fourth Proportional to 12,231.60, 16,886.61 and 8,052

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Solution

The fourth proportional to 12,231.60, 16,886.61 and 8,052 is: 11,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.60 : 16,886.61 = 8,052 : x
  2. Step 2: Convert to fraction form
    12,231.60/16,886.61 = 8,052/x
  3. Step 3: Cross multiply
    12,231.60x = 16,886.61 × 8,052
  4. Step 4: Simplify right side
    12,231.60x = 135,970,983.72
  5. Step 5: Solve for x
    x = 135,970,983.72/12,231.60
  6. Step 6: Final answer
    x = 11,116.37

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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.