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Finding the Fourth Proportional to 18,214.41, 27,346.77 and 12,578.85

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Solution

The fourth proportional to 18,214.41, 27,346.77 and 12,578.85 is: 18,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.41 : 27,346.77 = 12,578.85 : x
  2. Step 2: Convert to fraction form
    18,214.41/27,346.77 = 12,578.85/x
  3. Step 3: Cross multiply
    18,214.41x = 27,346.77 × 12,578.85
  4. Step 4: Simplify right side
    18,214.41x = 343,990,917.81
  5. Step 5: Solve for x
    x = 343,990,917.81/18,214.41
  6. Step 6: Final answer
    x = 18,885.65

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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.