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Finding the Fourth Proportional to 12,002.92, 18,005.49 and 3,118.23

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Solution

The fourth proportional to 12,002.92, 18,005.49 and 3,118.23 is: 4,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.92 : 18,005.49 = 3,118.23 : x
  2. Step 2: Convert to fraction form
    12,002.92/18,005.49 = 3,118.23/x
  3. Step 3: Cross multiply
    12,002.92x = 18,005.49 × 3,118.23
  4. Step 4: Simplify right side
    12,002.92x = 56,145,259.08
  5. Step 5: Solve for x
    x = 56,145,259.08/12,002.92
  6. Step 6: Final answer
    x = 4,677.63

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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.