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Finding the Fourth Proportional to 22,347.68, 33,522.62 and 6,765.44

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Solution

The fourth proportional to 22,347.68, 33,522.62 and 6,765.44 is: 10,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.68 : 33,522.62 = 6,765.44 : x
  2. Step 2: Convert to fraction form
    22,347.68/33,522.62 = 6,765.44/x
  3. Step 3: Cross multiply
    22,347.68x = 33,522.62 × 6,765.44
  4. Step 4: Simplify right side
    22,347.68x = 226,795,274.25
  5. Step 5: Solve for x
    x = 226,795,274.25/22,347.68
  6. Step 6: Final answer
    x = 10,148.49

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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.