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Finding the Fourth Proportional to 22,771.49, 34,133.82 and 8,728.25

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Solution

The fourth proportional to 22,771.49, 34,133.82 and 8,728.25 is: 13,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.49 : 34,133.82 = 8,728.25 : x
  2. Step 2: Convert to fraction form
    22,771.49/34,133.82 = 8,728.25/x
  3. Step 3: Cross multiply
    22,771.49x = 34,133.82 × 8,728.25
  4. Step 4: Simplify right side
    22,771.49x = 297,928,343.75
  5. Step 5: Solve for x
    x = 297,928,343.75/22,771.49
  6. Step 6: Final answer
    x = 13,083.40

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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.