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Finding the Fourth Proportional to 22,757.32, 34,121.36 and 9,606.16

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Solution

The fourth proportional to 22,757.32, 34,121.36 and 9,606.16 is: 14,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.32 : 34,121.36 = 9,606.16 : x
  2. Step 2: Convert to fraction form
    22,757.32/34,121.36 = 9,606.16/x
  3. Step 3: Cross multiply
    22,757.32x = 34,121.36 × 9,606.16
  4. Step 4: Simplify right side
    22,757.32x = 327,775,243.58
  5. Step 5: Solve for x
    x = 327,775,243.58/22,757.32
  6. Step 6: Final answer
    x = 14,403.07

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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.