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Finding the Fourth Proportional to 22,178.47, 33,257.99 and 8,317.75

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Solution

The fourth proportional to 22,178.47, 33,257.99 and 8,317.75 is: 12,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178.47 : 33,257.99 = 8,317.75 : x
  2. Step 2: Convert to fraction form
    22,178.47/33,257.99 = 8,317.75/x
  3. Step 3: Cross multiply
    22,178.47x = 33,257.99 × 8,317.75
  4. Step 4: Simplify right side
    22,178.47x = 276,631,604.73
  5. Step 5: Solve for x
    x = 276,631,604.73/22,178.47
  6. Step 6: Final answer
    x = 12,472.98

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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.