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Finding the Fourth Proportional to 12,165.41, 18,240.80 and 4,761.05

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Solution

The fourth proportional to 12,165.41, 18,240.80 and 4,761.05 is: 7,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.41 : 18,240.80 = 4,761.05 : x
  2. Step 2: Convert to fraction form
    12,165.41/18,240.80 = 4,761.05/x
  3. Step 3: Cross multiply
    12,165.41x = 18,240.80 × 4,761.05
  4. Step 4: Simplify right side
    12,165.41x = 86,845,245.83
  5. Step 5: Solve for x
    x = 86,845,245.83/12,165.41
  6. Step 6: Final answer
    x = 7,138.71

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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.