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Finding the Fourth Proportional to 22,806.64, 34,209.71 and 7,224.26

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Solution

The fourth proportional to 22,806.64, 34,209.71 and 7,224.26 is: 10,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.64 : 34,209.71 = 7,224.26 : x
  2. Step 2: Convert to fraction form
    22,806.64/34,209.71 = 7,224.26/x
  3. Step 3: Cross multiply
    22,806.64x = 34,209.71 × 7,224.26
  4. Step 4: Simplify right side
    22,806.64x = 247,139,839.56
  5. Step 5: Solve for x
    x = 247,139,839.56/22,806.64
  6. Step 6: Final answer
    x = 10,836.31

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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.