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Finding the Fourth Proportional to 19,977.14, 29,964.36 and 6,829.22

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Solution

The fourth proportional to 19,977.14, 29,964.36 and 6,829.22 is: 10,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.14 : 29,964.36 = 6,829.22 : x
  2. Step 2: Convert to fraction form
    19,977.14/29,964.36 = 6,829.22/x
  3. Step 3: Cross multiply
    19,977.14x = 29,964.36 × 6,829.22
  4. Step 4: Simplify right side
    19,977.14x = 204,633,206.60
  5. Step 5: Solve for x
    x = 204,633,206.60/19,977.14
  6. Step 6: Final answer
    x = 10,243.37

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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.