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Finding the Fourth Proportional to 12,005.73, 18,019.49 and 6,086.74

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Solution

The fourth proportional to 12,005.73, 18,019.49 and 6,086.74 is: 9,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.73 : 18,019.49 = 6,086.74 : x
  2. Step 2: Convert to fraction form
    12,005.73/18,019.49 = 6,086.74/x
  3. Step 3: Cross multiply
    12,005.73x = 18,019.49 × 6,086.74
  4. Step 4: Simplify right side
    12,005.73x = 109,679,920.73
  5. Step 5: Solve for x
    x = 109,679,920.73/12,005.73
  6. Step 6: Final answer
    x = 9,135.63

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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.