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Finding the Fourth Proportional to 19,933.24, 29,866.92 and 8,823.28

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Solution

The fourth proportional to 19,933.24, 29,866.92 and 8,823.28 is: 13,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933.24 : 29,866.92 = 8,823.28 : x
  2. Step 2: Convert to fraction form
    19,933.24/29,866.92 = 8,823.28/x
  3. Step 3: Cross multiply
    19,933.24x = 29,866.92 × 8,823.28
  4. Step 4: Simplify right side
    19,933.24x = 263,524,197.90
  5. Step 5: Solve for x
    x = 263,524,197.90/19,933.24
  6. Step 6: Final answer
    x = 13,220.34

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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.