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Finding the Fourth Proportional to 13,232.46, 19,822.89 and 7,371.42

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Solution

The fourth proportional to 13,232.46, 19,822.89 and 7,371.42 is: 11,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.46 : 19,822.89 = 7,371.42 : x
  2. Step 2: Convert to fraction form
    13,232.46/19,822.89 = 7,371.42/x
  3. Step 3: Cross multiply
    13,232.46x = 19,822.89 × 7,371.42
  4. Step 4: Simplify right side
    13,232.46x = 146,122,847.80
  5. Step 5: Solve for x
    x = 146,122,847.80/13,232.46
  6. Step 6: Final answer
    x = 11,042.76

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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.