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Finding the Fourth Proportional to 27,605.66, 41,400.27 and 10,071.38

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Solution

The fourth proportional to 27,605.66, 41,400.27 and 10,071.38 is: 15,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.66 : 41,400.27 = 10,071.38 : x
  2. Step 2: Convert to fraction form
    27,605.66/41,400.27 = 10,071.38/x
  3. Step 3: Cross multiply
    27,605.66x = 41,400.27 × 10,071.38
  4. Step 4: Simplify right side
    27,605.66x = 416,957,644.27
  5. Step 5: Solve for x
    x = 416,957,644.27/27,605.66
  6. Step 6: Final answer
    x = 15,104.07

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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.