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Finding the Fourth Proportional to 22,283.24, 33,419.34 and 9,806.38

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Solution

The fourth proportional to 22,283.24, 33,419.34 and 9,806.38 is: 14,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.24 : 33,419.34 = 9,806.38 : x
  2. Step 2: Convert to fraction form
    22,283.24/33,419.34 = 9,806.38/x
  3. Step 3: Cross multiply
    22,283.24x = 33,419.34 × 9,806.38
  4. Step 4: Simplify right side
    22,283.24x = 327,722,747.39
  5. Step 5: Solve for x
    x = 327,722,747.39/22,283.24
  6. Step 6: Final answer
    x = 14,707.14

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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.