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Finding the Fourth Proportional to 19,667.44, 29,475.24 and 7,974.28

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Solution

The fourth proportional to 19,667.44, 29,475.24 and 7,974.28 is: 11,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.44 : 29,475.24 = 7,974.28 : x
  2. Step 2: Convert to fraction form
    19,667.44/29,475.24 = 7,974.28/x
  3. Step 3: Cross multiply
    19,667.44x = 29,475.24 × 7,974.28
  4. Step 4: Simplify right side
    19,667.44x = 235,043,816.83
  5. Step 5: Solve for x
    x = 235,043,816.83/19,667.44
  6. Step 6: Final answer
    x = 11,950.91

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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.