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Finding the Fourth Proportional to 27,942.66, 41,919.48 and 9,221.94

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Solution

The fourth proportional to 27,942.66, 41,919.48 and 9,221.94 is: 13,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.66 : 41,919.48 = 9,221.94 : x
  2. Step 2: Convert to fraction form
    27,942.66/41,919.48 = 9,221.94/x
  3. Step 3: Cross multiply
    27,942.66x = 41,919.48 × 9,221.94
  4. Step 4: Simplify right side
    27,942.66x = 386,578,929.39
  5. Step 5: Solve for x
    x = 386,578,929.39/27,942.66
  6. Step 6: Final answer
    x = 13,834.72

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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.