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Finding the Fourth Proportional to 12,083.85, 18,118.32 and 4,184.53

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Solution

The fourth proportional to 12,083.85, 18,118.32 and 4,184.53 is: 6,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.85 : 18,118.32 = 4,184.53 : x
  2. Step 2: Convert to fraction form
    12,083.85/18,118.32 = 4,184.53/x
  3. Step 3: Cross multiply
    12,083.85x = 18,118.32 × 4,184.53
  4. Step 4: Simplify right side
    12,083.85x = 75,816,616.14
  5. Step 5: Solve for x
    x = 75,816,616.14/12,083.85
  6. Step 6: Final answer
    x = 6,274.21

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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.