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Finding the Fourth Proportional to 26,413.31, 39,617.97 and 9,765.56

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Solution

The fourth proportional to 26,413.31, 39,617.97 and 9,765.56 is: 14,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.31 : 39,617.97 = 9,765.56 : x
  2. Step 2: Convert to fraction form
    26,413.31/39,617.97 = 9,765.56/x
  3. Step 3: Cross multiply
    26,413.31x = 39,617.97 × 9,765.56
  4. Step 4: Simplify right side
    26,413.31x = 386,891,663.11
  5. Step 5: Solve for x
    x = 386,891,663.11/26,413.31
  6. Step 6: Final answer
    x = 14,647.60

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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.