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Finding the Fourth Proportional to 22,231.64, 33,323.16 and 13,464.20

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Solution

The fourth proportional to 22,231.64, 33,323.16 and 13,464.20 is: 20,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.64 : 33,323.16 = 13,464.20 : x
  2. Step 2: Convert to fraction form
    22,231.64/33,323.16 = 13,464.20/x
  3. Step 3: Cross multiply
    22,231.64x = 33,323.16 × 13,464.20
  4. Step 4: Simplify right side
    22,231.64x = 448,669,690.87
  5. Step 5: Solve for x
    x = 448,669,690.87/22,231.64
  6. Step 6: Final answer
    x = 20,181.58

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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.