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Finding the Fourth Proportional to 19,786.11, 29,678.92 and 7,945.13

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Solution

The fourth proportional to 19,786.11, 29,678.92 and 7,945.13 is: 11,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,786.11 : 29,678.92 = 7,945.13 : x
  2. Step 2: Convert to fraction form
    19,786.11/29,678.92 = 7,945.13/x
  3. Step 3: Cross multiply
    19,786.11x = 29,678.92 × 7,945.13
  4. Step 4: Simplify right side
    19,786.11x = 235,802,709.40
  5. Step 5: Solve for x
    x = 235,802,709.40/19,786.11
  6. Step 6: Final answer
    x = 11,917.59

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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.