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Finding the Fourth Proportional to 27,413.70, 41,121.77 and 7,691.82

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Solution

The fourth proportional to 27,413.70, 41,121.77 and 7,691.82 is: 11,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.70 : 41,121.77 = 7,691.82 : x
  2. Step 2: Convert to fraction form
    27,413.70/41,121.77 = 7,691.82/x
  3. Step 3: Cross multiply
    27,413.70x = 41,121.77 × 7,691.82
  4. Step 4: Simplify right side
    27,413.70x = 316,301,214.46
  5. Step 5: Solve for x
    x = 316,301,214.46/27,413.70
  6. Step 6: Final answer
    x = 11,538.07

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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.