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Finding the Fourth Proportional to 22,616.20, 33,924.30 and 9,464.20

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Solution

The fourth proportional to 22,616.20, 33,924.30 and 9,464.20 is: 14,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.20 : 33,924.30 = 9,464.20 : x
  2. Step 2: Convert to fraction form
    22,616.20/33,924.30 = 9,464.20/x
  3. Step 3: Cross multiply
    22,616.20x = 33,924.30 × 9,464.20
  4. Step 4: Simplify right side
    22,616.20x = 321,066,360.06
  5. Step 5: Solve for x
    x = 321,066,360.06/22,616.20
  6. Step 6: Final answer
    x = 14,196.30

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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.