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Finding the Fourth Proportional to 21,824.44, 32,716.34 and 7,963

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Solution

The fourth proportional to 21,824.44, 32,716.34 and 7,963 is: 11,937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.44 : 32,716.34 = 7,963 : x
  2. Step 2: Convert to fraction form
    21,824.44/32,716.34 = 7,963/x
  3. Step 3: Cross multiply
    21,824.44x = 32,716.34 × 7,963
  4. Step 4: Simplify right side
    21,824.44x = 260,520,215.42
  5. Step 5: Solve for x
    x = 260,520,215.42/21,824.44
  6. Step 6: Final answer
    x = 11,937.09

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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.