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Finding the Fourth Proportional to 22,561.10, 33,836.16 and 9,413.58

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Solution

The fourth proportional to 22,561.10, 33,836.16 and 9,413.58 is: 14,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561.10 : 33,836.16 = 9,413.58 : x
  2. Step 2: Convert to fraction form
    22,561.10/33,836.16 = 9,413.58/x
  3. Step 3: Cross multiply
    22,561.10x = 33,836.16 × 9,413.58
  4. Step 4: Simplify right side
    22,561.10x = 318,519,399.05
  5. Step 5: Solve for x
    x = 318,519,399.05/22,561.10
  6. Step 6: Final answer
    x = 14,118.08

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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.