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Finding the Fourth Proportional to 22,832.32, 34,248.06 and 7,249.96

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Solution

The fourth proportional to 22,832.32, 34,248.06 and 7,249.96 is: 10,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.32 : 34,248.06 = 7,249.96 : x
  2. Step 2: Convert to fraction form
    22,832.32/34,248.06 = 7,249.96/x
  3. Step 3: Cross multiply
    22,832.32x = 34,248.06 × 7,249.96
  4. Step 4: Simplify right side
    22,832.32x = 248,297,065.08
  5. Step 5: Solve for x
    x = 248,297,065.08/22,832.32
  6. Step 6: Final answer
    x = 10,874.81

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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.