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Finding the Fourth Proportional to 22,213.35, 33,329.28 and 9,742.32

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Solution

The fourth proportional to 22,213.35, 33,329.28 and 9,742.32 is: 14,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.35 : 33,329.28 = 9,742.32 : x
  2. Step 2: Convert to fraction form
    22,213.35/33,329.28 = 9,742.32/x
  3. Step 3: Cross multiply
    22,213.35x = 33,329.28 × 9,742.32
  4. Step 4: Simplify right side
    22,213.35x = 324,704,462.42
  5. Step 5: Solve for x
    x = 324,704,462.42/22,213.35
  6. Step 6: Final answer
    x = 14,617.54

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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.