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Finding the Fourth Proportional to 19,571.14, 29,361.30 and 6,424.30

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Solution

The fourth proportional to 19,571.14, 29,361.30 and 6,424.30 is: 9,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.14 : 29,361.30 = 6,424.30 : x
  2. Step 2: Convert to fraction form
    19,571.14/29,361.30 = 6,424.30/x
  3. Step 3: Cross multiply
    19,571.14x = 29,361.30 × 6,424.30
  4. Step 4: Simplify right side
    19,571.14x = 188,625,799.59
  5. Step 5: Solve for x
    x = 188,625,799.59/19,571.14
  6. Step 6: Final answer
    x = 9,637.96

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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.