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Finding the Fourth Proportional to 22,748.38, 34,109.73 and 9,413.84

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Solution

The fourth proportional to 22,748.38, 34,109.73 and 9,413.84 is: 14,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,748.38 : 34,109.73 = 9,413.84 : x
  2. Step 2: Convert to fraction form
    22,748.38/34,109.73 = 9,413.84/x
  3. Step 3: Cross multiply
    22,748.38x = 34,109.73 × 9,413.84
  4. Step 4: Simplify right side
    22,748.38x = 321,103,625.94
  5. Step 5: Solve for x
    x = 321,103,625.94/22,748.38
  6. Step 6: Final answer
    x = 14,115.45

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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.