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Finding the Fourth Proportional to 12,031.82, 18,007.07 and 8,591.39

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Solution

The fourth proportional to 12,031.82, 18,007.07 and 8,591.39 is: 12,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.82 : 18,007.07 = 8,591.39 : x
  2. Step 2: Convert to fraction form
    12,031.82/18,007.07 = 8,591.39/x
  3. Step 3: Cross multiply
    12,031.82x = 18,007.07 × 8,591.39
  4. Step 4: Simplify right side
    12,031.82x = 154,705,628.14
  5. Step 5: Solve for x
    x = 154,705,628.14/12,031.82
  6. Step 6: Final answer
    x = 12,858.05

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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.