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Finding the Fourth Proportional to 22,413.84, 33,616.44 and 6,833.04

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Solution

The fourth proportional to 22,413.84, 33,616.44 and 6,833.04 is: 10,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.84 : 33,616.44 = 6,833.04 : x
  2. Step 2: Convert to fraction form
    22,413.84/33,616.44 = 6,833.04/x
  3. Step 3: Cross multiply
    22,413.84x = 33,616.44 × 6,833.04
  4. Step 4: Simplify right side
    22,413.84x = 229,702,479.18
  5. Step 5: Solve for x
    x = 229,702,479.18/22,413.84
  6. Step 6: Final answer
    x = 10,248.24

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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.