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Finding the Fourth Proportional to 19,813.36, 29,719.32 and 5,962

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Solution

The fourth proportional to 19,813.36, 29,719.32 and 5,962 is: 8,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.36 : 29,719.32 = 5,962 : x
  2. Step 2: Convert to fraction form
    19,813.36/29,719.32 = 5,962/x
  3. Step 3: Cross multiply
    19,813.36x = 29,719.32 × 5,962
  4. Step 4: Simplify right side
    19,813.36x = 177,186,585.84
  5. Step 5: Solve for x
    x = 177,186,585.84/19,813.36
  6. Step 6: Final answer
    x = 8,942.78

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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.