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Finding the Fourth Proportional to 22,849.56, 34,270.81 and 8,816.16

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Solution

The fourth proportional to 22,849.56, 34,270.81 and 8,816.16 is: 13,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,849.56 : 34,270.81 = 8,816.16 : x
  2. Step 2: Convert to fraction form
    22,849.56/34,270.81 = 8,816.16/x
  3. Step 3: Cross multiply
    22,849.56x = 34,270.81 × 8,816.16
  4. Step 4: Simplify right side
    22,849.56x = 302,136,922.25
  5. Step 5: Solve for x
    x = 302,136,922.25/22,849.56
  6. Step 6: Final answer
    x = 13,222.88

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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.