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Finding the Fourth Proportional to 27,948.60, 41,918.34 and 8,222.54

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Solution

The fourth proportional to 27,948.60, 41,918.34 and 8,222.54 is: 12,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948.60 : 41,918.34 = 8,222.54 : x
  2. Step 2: Convert to fraction form
    27,948.60/41,918.34 = 8,222.54/x
  3. Step 3: Cross multiply
    27,948.60x = 41,918.34 × 8,222.54
  4. Step 4: Simplify right side
    27,948.60x = 344,675,227.38
  5. Step 5: Solve for x
    x = 344,675,227.38/27,948.60
  6. Step 6: Final answer
    x = 12,332.47

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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.