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Finding the Fourth Proportional to 22,855.75, 34,288.74 and 8,064.79

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Solution

The fourth proportional to 22,855.75, 34,288.74 and 8,064.79 is: 12,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.75 : 34,288.74 = 8,064.79 : x
  2. Step 2: Convert to fraction form
    22,855.75/34,288.74 = 8,064.79/x
  3. Step 3: Cross multiply
    22,855.75x = 34,288.74 × 8,064.79
  4. Step 4: Simplify right side
    22,855.75x = 276,531,401.74
  5. Step 5: Solve for x
    x = 276,531,401.74/22,855.75
  6. Step 6: Final answer
    x = 12,098.99

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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.