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Finding the Fourth Proportional to 19,796.18, 29,694.29 and 5,945.18

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Solution

The fourth proportional to 19,796.18, 29,694.29 and 5,945.18 is: 8,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.18 : 29,694.29 = 5,945.18 : x
  2. Step 2: Convert to fraction form
    19,796.18/29,694.29 = 5,945.18/x
  3. Step 3: Cross multiply
    19,796.18x = 29,694.29 × 5,945.18
  4. Step 4: Simplify right side
    19,796.18x = 176,537,720.82
  5. Step 5: Solve for x
    x = 176,537,720.82/19,796.18
  6. Step 6: Final answer
    x = 8,917.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.