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Finding the Fourth Proportional to 21,419.22, 32,128.83 and 5,839.14

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Solution

The fourth proportional to 21,419.22, 32,128.83 and 5,839.14 is: 8,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419.22 : 32,128.83 = 5,839.14 : x
  2. Step 2: Convert to fraction form
    21,419.22/32,128.83 = 5,839.14/x
  3. Step 3: Cross multiply
    21,419.22x = 32,128.83 × 5,839.14
  4. Step 4: Simplify right side
    21,419.22x = 187,604,736.41
  5. Step 5: Solve for x
    x = 187,604,736.41/21,419.22
  6. Step 6: Final answer
    x = 8,758.71

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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.