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Finding the Fourth Proportional to 12,081.67, 18,118.16 and 4,182.05

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Solution

The fourth proportional to 12,081.67, 18,118.16 and 4,182.05 is: 6,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.67 : 18,118.16 = 4,182.05 : x
  2. Step 2: Convert to fraction form
    12,081.67/18,118.16 = 4,182.05/x
  3. Step 3: Cross multiply
    12,081.67x = 18,118.16 × 4,182.05
  4. Step 4: Simplify right side
    12,081.67x = 75,771,012.71
  5. Step 5: Solve for x
    x = 75,771,012.71/12,081.67
  6. Step 6: Final answer
    x = 6,271.57

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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.