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Finding the Fourth Proportional to 22,832.16, 34,249.22 and 7,849.60

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Solution

The fourth proportional to 22,832.16, 34,249.22 and 7,849.60 is: 11,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.16 : 34,249.22 = 7,849.60 : x
  2. Step 2: Convert to fraction form
    22,832.16/34,249.22 = 7,849.60/x
  3. Step 3: Cross multiply
    22,832.16x = 34,249.22 × 7,849.60
  4. Step 4: Simplify right side
    22,832.16x = 268,842,677.31
  5. Step 5: Solve for x
    x = 268,842,677.31/22,832.16
  6. Step 6: Final answer
    x = 11,774.74

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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.