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Finding the Fourth Proportional to 22,305.21, 33,420.90 and 9,806.49

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Solution

The fourth proportional to 22,305.21, 33,420.90 and 9,806.49 is: 14,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.21 : 33,420.90 = 9,806.49 : x
  2. Step 2: Convert to fraction form
    22,305.21/33,420.90 = 9,806.49/x
  3. Step 3: Cross multiply
    22,305.21x = 33,420.90 × 9,806.49
  4. Step 4: Simplify right side
    22,305.21x = 327,741,721.64
  5. Step 5: Solve for x
    x = 327,741,721.64/22,305.21
  6. Step 6: Final answer
    x = 14,693.51

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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.