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Finding the Fourth Proportional to 19,919.32, 29,882.62 and 8,233.45

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Solution

The fourth proportional to 19,919.32, 29,882.62 and 8,233.45 is: 12,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.32 : 29,882.62 = 8,233.45 : x
  2. Step 2: Convert to fraction form
    19,919.32/29,882.62 = 8,233.45/x
  3. Step 3: Cross multiply
    19,919.32x = 29,882.62 × 8,233.45
  4. Step 4: Simplify right side
    19,919.32x = 246,036,993.22
  5. Step 5: Solve for x
    x = 246,036,993.22/19,919.32
  6. Step 6: Final answer
    x = 12,351.68

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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.