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Finding the Fourth Proportional to 22,852.12, 34,238.97 and 20,540.99

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Solution

The fourth proportional to 22,852.12, 34,238.97 and 20,540.99 is: 30,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.12 : 34,238.97 = 20,540.99 : x
  2. Step 2: Convert to fraction form
    22,852.12/34,238.97 = 20,540.99/x
  3. Step 3: Cross multiply
    22,852.12x = 34,238.97 × 20,540.99
  4. Step 4: Simplify right side
    22,852.12x = 703,302,169.19
  5. Step 5: Solve for x
    x = 703,302,169.19/22,852.12
  6. Step 6: Final answer
    x = 30,776.24

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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.