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Finding the Fourth Proportional to 21,963.46, 32,946.11 and 6,381.09

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Solution

The fourth proportional to 21,963.46, 32,946.11 and 6,381.09 is: 9,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.46 : 32,946.11 = 6,381.09 : x
  2. Step 2: Convert to fraction form
    21,963.46/32,946.11 = 6,381.09/x
  3. Step 3: Cross multiply
    21,963.46x = 32,946.11 × 6,381.09
  4. Step 4: Simplify right side
    21,963.46x = 210,231,896.42
  5. Step 5: Solve for x
    x = 210,231,896.42/21,963.46
  6. Step 6: Final answer
    x = 9,571.89

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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.