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Finding the Fourth Proportional to 12,081.60, 16,641.42 and 8,538.66

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Solution

The fourth proportional to 12,081.60, 16,641.42 and 8,538.66 is: 11,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.60 : 16,641.42 = 8,538.66 : x
  2. Step 2: Convert to fraction form
    12,081.60/16,641.42 = 8,538.66/x
  3. Step 3: Cross multiply
    12,081.60x = 16,641.42 × 8,538.66
  4. Step 4: Simplify right side
    12,081.60x = 142,095,427.30
  5. Step 5: Solve for x
    x = 142,095,427.30/12,081.60
  6. Step 6: Final answer
    x = 11,761.31

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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.