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Finding the Fourth Proportional to 29,658.52, 40,910.97 and 19,586.98

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Solution

The fourth proportional to 29,658.52, 40,910.97 and 19,586.98 is: 27,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.52 : 40,910.97 = 19,586.98 : x
  2. Step 2: Convert to fraction form
    29,658.52/40,910.97 = 19,586.98/x
  3. Step 3: Cross multiply
    29,658.52x = 40,910.97 × 19,586.98
  4. Step 4: Simplify right side
    29,658.52x = 801,322,351.17
  5. Step 5: Solve for x
    x = 801,322,351.17/29,658.52
  6. Step 6: Final answer
    x = 27,018.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.