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Finding the Fourth Proportional to 22,538.84, 33,809.13 and 6,744.11

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Solution

The fourth proportional to 22,538.84, 33,809.13 and 6,744.11 is: 10,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.84 : 33,809.13 = 6,744.11 : x
  2. Step 2: Convert to fraction form
    22,538.84/33,809.13 = 6,744.11/x
  3. Step 3: Cross multiply
    22,538.84x = 33,809.13 × 6,744.11
  4. Step 4: Simplify right side
    22,538.84x = 228,012,322.68
  5. Step 5: Solve for x
    x = 228,012,322.68/22,538.84
  6. Step 6: Final answer
    x = 10,116.42

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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.