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Finding the Fourth Proportional to 22,275.93, 33,413.91 and 9,119.31

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Solution

The fourth proportional to 22,275.93, 33,413.91 and 9,119.31 is: 13,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.93 : 33,413.91 = 9,119.31 : x
  2. Step 2: Convert to fraction form
    22,275.93/33,413.91 = 9,119.31/x
  3. Step 3: Cross multiply
    22,275.93x = 33,413.91 × 9,119.31
  4. Step 4: Simplify right side
    22,275.93x = 304,711,644.10
  5. Step 5: Solve for x
    x = 304,711,644.10/22,275.93
  6. Step 6: Final answer
    x = 13,678.96

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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.