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Finding the Fourth Proportional to 12,046.64, 18,071.68 and 3,727.37

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Solution

The fourth proportional to 12,046.64, 18,071.68 and 3,727.37 is: 5,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.64 : 18,071.68 = 3,727.37 : x
  2. Step 2: Convert to fraction form
    12,046.64/18,071.68 = 3,727.37/x
  3. Step 3: Cross multiply
    12,046.64x = 18,071.68 × 3,727.37
  4. Step 4: Simplify right side
    12,046.64x = 67,359,747.52
  5. Step 5: Solve for x
    x = 67,359,747.52/12,046.64
  6. Step 6: Final answer
    x = 5,591.58

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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.