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Finding the Fourth Proportional to 22,538.27, 33,812.22 and 6,744.51

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Solution

The fourth proportional to 22,538.27, 33,812.22 and 6,744.51 is: 10,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.27 : 33,812.22 = 6,744.51 : x
  2. Step 2: Convert to fraction form
    22,538.27/33,812.22 = 6,744.51/x
  3. Step 3: Cross multiply
    22,538.27x = 33,812.22 × 6,744.51
  4. Step 4: Simplify right side
    22,538.27x = 228,046,855.91
  5. Step 5: Solve for x
    x = 228,046,855.91/22,538.27
  6. Step 6: Final answer
    x = 10,118.21

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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.