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Finding the Fourth Proportional to 22,408.24, 33,612.35 and 9,246.14

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Solution

The fourth proportional to 22,408.24, 33,612.35 and 9,246.14 is: 13,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.24 : 33,612.35 = 9,246.14 : x
  2. Step 2: Convert to fraction form
    22,408.24/33,612.35 = 9,246.14/x
  3. Step 3: Cross multiply
    22,408.24x = 33,612.35 × 9,246.14
  4. Step 4: Simplify right side
    22,408.24x = 310,784,493.83
  5. Step 5: Solve for x
    x = 310,784,493.83/22,408.24
  6. Step 6: Final answer
    x = 13,869.21

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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.