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Finding the Fourth Proportional to 26,413.74, 39,614.04 and 7,689.78

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Solution

The fourth proportional to 26,413.74, 39,614.04 and 7,689.78 is: 11,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.74 : 39,614.04 = 7,689.78 : x
  2. Step 2: Convert to fraction form
    26,413.74/39,614.04 = 7,689.78/x
  3. Step 3: Cross multiply
    26,413.74x = 39,614.04 × 7,689.78
  4. Step 4: Simplify right side
    26,413.74x = 304,623,252.51
  5. Step 5: Solve for x
    x = 304,623,252.51/26,413.74
  6. Step 6: Final answer
    x = 11,532.76

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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.