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Finding the Fourth Proportional to 22,834.28, 34,270.86 and 8,993

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Solution

The fourth proportional to 22,834.28, 34,270.86 and 8,993 is: 13,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,834.28 : 34,270.86 = 8,993 : x
  2. Step 2: Convert to fraction form
    22,834.28/34,270.86 = 8,993/x
  3. Step 3: Cross multiply
    22,834.28x = 34,270.86 × 8,993
  4. Step 4: Simplify right side
    22,834.28x = 308,197,843.98
  5. Step 5: Solve for x
    x = 308,197,843.98/22,834.28
  6. Step 6: Final answer
    x = 13,497.16

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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.