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Finding the Fourth Proportional to 21,974.66, 32,961.73 and 5,334.87

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Solution

The fourth proportional to 21,974.66, 32,961.73 and 5,334.87 is: 8,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.66 : 32,961.73 = 5,334.87 : x
  2. Step 2: Convert to fraction form
    21,974.66/32,961.73 = 5,334.87/x
  3. Step 3: Cross multiply
    21,974.66x = 32,961.73 × 5,334.87
  4. Step 4: Simplify right side
    21,974.66x = 175,846,544.53
  5. Step 5: Solve for x
    x = 175,846,544.53/21,974.66
  6. Step 6: Final answer
    x = 8,002.24

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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.