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Finding the Fourth Proportional to 29,896.50, 41,257.18 and 17,328.54

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Solution

The fourth proportional to 29,896.50, 41,257.18 and 17,328.54 is: 23,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896.50 : 41,257.18 = 17,328.54 : x
  2. Step 2: Convert to fraction form
    29,896.50/41,257.18 = 17,328.54/x
  3. Step 3: Cross multiply
    29,896.50x = 41,257.18 × 17,328.54
  4. Step 4: Simplify right side
    29,896.50x = 714,926,693.92
  5. Step 5: Solve for x
    x = 714,926,693.92/29,896.50
  6. Step 6: Final answer
    x = 23,913.39

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Why These Related Problems?

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