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Finding the Fourth Proportional to 22,408.80, 33,628.68 and 9,261.24

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Solution

The fourth proportional to 22,408.80, 33,628.68 and 9,261.24 is: 13,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.80 : 33,628.68 = 9,261.24 : x
  2. Step 2: Convert to fraction form
    22,408.80/33,628.68 = 9,261.24/x
  3. Step 3: Cross multiply
    22,408.80x = 33,628.68 × 9,261.24
  4. Step 4: Simplify right side
    22,408.80x = 311,443,276.36
  5. Step 5: Solve for x
    x = 311,443,276.36/22,408.80
  6. Step 6: Final answer
    x = 13,898.26

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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.