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Finding the Fourth Proportional to 12,031.39, 18,046.68 and 4,240

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Solution

The fourth proportional to 12,031.39, 18,046.68 and 4,240 is: 6,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.39 : 18,046.68 = 4,240 : x
  2. Step 2: Convert to fraction form
    12,031.39/18,046.68 = 4,240/x
  3. Step 3: Cross multiply
    12,031.39x = 18,046.68 × 4,240
  4. Step 4: Simplify right side
    12,031.39x = 76,517,923.20
  5. Step 5: Solve for x
    x = 76,517,923.20/12,031.39
  6. Step 6: Final answer
    x = 6,359.86

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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.