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Finding the Fourth Proportional to 12,031.54, 18,028.64 and 8,340.98

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Solution

The fourth proportional to 12,031.54, 18,028.64 and 8,340.98 is: 12,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.54 : 18,028.64 = 8,340.98 : x
  2. Step 2: Convert to fraction form
    12,031.54/18,028.64 = 8,340.98/x
  3. Step 3: Cross multiply
    12,031.54x = 18,028.64 × 8,340.98
  4. Step 4: Simplify right side
    12,031.54x = 150,376,456.38
  5. Step 5: Solve for x
    x = 150,376,456.38/12,031.54
  6. Step 6: Final answer
    x = 12,498.52

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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.