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Finding the Fourth Proportional to 12,138.06, 18,204.06 and 8,617.80

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Solution

The fourth proportional to 12,138.06, 18,204.06 and 8,617.80 is: 12,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.06 : 18,204.06 = 8,617.80 : x
  2. Step 2: Convert to fraction form
    12,138.06/18,204.06 = 8,617.80/x
  3. Step 3: Cross multiply
    12,138.06x = 18,204.06 × 8,617.80
  4. Step 4: Simplify right side
    12,138.06x = 156,878,948.27
  5. Step 5: Solve for x
    x = 156,878,948.27/12,138.06
  6. Step 6: Final answer
    x = 12,924.55

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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.