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Finding the Fourth Proportional to 19,932.24, 29,865.42 and 8,822.28

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Solution

The fourth proportional to 19,932.24, 29,865.42 and 8,822.28 is: 13,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,932.24 : 29,865.42 = 8,822.28 : x
  2. Step 2: Convert to fraction form
    19,932.24/29,865.42 = 8,822.28/x
  3. Step 3: Cross multiply
    19,932.24x = 29,865.42 × 8,822.28
  4. Step 4: Simplify right side
    19,932.24x = 263,481,097.56
  5. Step 5: Solve for x
    x = 263,481,097.56/19,932.24
  6. Step 6: Final answer
    x = 13,218.84

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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.