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Finding the Fourth Proportional to 22,429.13, 33,643.76 and 6,846.75

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Solution

The fourth proportional to 22,429.13, 33,643.76 and 6,846.75 is: 10,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.13 : 33,643.76 = 6,846.75 : x
  2. Step 2: Convert to fraction form
    22,429.13/33,643.76 = 6,846.75/x
  3. Step 3: Cross multiply
    22,429.13x = 33,643.76 × 6,846.75
  4. Step 4: Simplify right side
    22,429.13x = 230,350,413.78
  5. Step 5: Solve for x
    x = 230,350,413.78/22,429.13
  6. Step 6: Final answer
    x = 10,270.14

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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.