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Finding the Fourth Proportional to 19,691.37, 29,537.06 and 5,839.29

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Solution

The fourth proportional to 19,691.37, 29,537.06 and 5,839.29 is: 8,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.37 : 29,537.06 = 5,839.29 : x
  2. Step 2: Convert to fraction form
    19,691.37/29,537.06 = 5,839.29/x
  3. Step 3: Cross multiply
    19,691.37x = 29,537.06 × 5,839.29
  4. Step 4: Simplify right side
    19,691.37x = 172,475,429.89
  5. Step 5: Solve for x
    x = 172,475,429.89/19,691.37
  6. Step 6: Final answer
    x = 8,758.94

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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.