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Finding the Fourth Proportional to 22,413.68, 33,631.84 and 9,275.48

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Solution

The fourth proportional to 22,413.68, 33,631.84 and 9,275.48 is: 13,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.68 : 33,631.84 = 9,275.48 : x
  2. Step 2: Convert to fraction form
    22,413.68/33,631.84 = 9,275.48/x
  3. Step 3: Cross multiply
    22,413.68x = 33,631.84 × 9,275.48
  4. Step 4: Simplify right side
    22,413.68x = 311,951,459.28
  5. Step 5: Solve for x
    x = 311,951,459.28/22,413.68
  6. Step 6: Final answer
    x = 13,917.90

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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.