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Finding the Fourth Proportional to 19,716.78, 29,558.82 and 7,863.24

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Solution

The fourth proportional to 19,716.78, 29,558.82 and 7,863.24 is: 11,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.78 : 29,558.82 = 7,863.24 : x
  2. Step 2: Convert to fraction form
    19,716.78/29,558.82 = 7,863.24/x
  3. Step 3: Cross multiply
    19,716.78x = 29,558.82 × 7,863.24
  4. Step 4: Simplify right side
    19,716.78x = 232,428,095.78
  5. Step 5: Solve for x
    x = 232,428,095.78/19,716.78
  6. Step 6: Final answer
    x = 11,788.34

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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.