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Finding the Fourth Proportional to 12,046.81, 18,071.89 and 5,474.65

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Solution

The fourth proportional to 12,046.81, 18,071.89 and 5,474.65 is: 8,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.81 : 18,071.89 = 5,474.65 : x
  2. Step 2: Convert to fraction form
    12,046.81/18,071.89 = 5,474.65/x
  3. Step 3: Cross multiply
    12,046.81x = 18,071.89 × 5,474.65
  4. Step 4: Simplify right side
    12,046.81x = 98,937,168.54
  5. Step 5: Solve for x
    x = 98,937,168.54/12,046.81
  6. Step 6: Final answer
    x = 8,212.73

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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.