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Finding the Fourth Proportional to 22,277.64, 33,418.20 and 7,486.44

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Solution

The fourth proportional to 22,277.64, 33,418.20 and 7,486.44 is: 11,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.64 : 33,418.20 = 7,486.44 : x
  2. Step 2: Convert to fraction form
    22,277.64/33,418.20 = 7,486.44/x
  3. Step 3: Cross multiply
    22,277.64x = 33,418.20 × 7,486.44
  4. Step 4: Simplify right side
    22,277.64x = 250,183,349.21
  5. Step 5: Solve for x
    x = 250,183,349.21/22,277.64
  6. Step 6: Final answer
    x = 11,230.24

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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.