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Finding the Fourth Proportional to 12,031.75, 18,049.32 and 3,712.44

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Solution

The fourth proportional to 12,031.75, 18,049.32 and 3,712.44 is: 5,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.75 : 18,049.32 = 3,712.44 : x
  2. Step 2: Convert to fraction form
    12,031.75/18,049.32 = 3,712.44/x
  3. Step 3: Cross multiply
    12,031.75x = 18,049.32 × 3,712.44
  4. Step 4: Simplify right side
    12,031.75x = 67,007,017.54
  5. Step 5: Solve for x
    x = 67,007,017.54/12,031.75
  6. Step 6: Final answer
    x = 5,569.18

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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.