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Finding the Fourth Proportional to 29,838.41, 41,176.19 and 16,409.66

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Solution

The fourth proportional to 29,838.41, 41,176.19 and 16,409.66 is: 22,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.41 : 41,176.19 = 16,409.66 : x
  2. Step 2: Convert to fraction form
    29,838.41/41,176.19 = 16,409.66/x
  3. Step 3: Cross multiply
    29,838.41x = 41,176.19 × 16,409.66
  4. Step 4: Simplify right side
    29,838.41x = 675,687,195.95
  5. Step 5: Solve for x
    x = 675,687,195.95/29,838.41
  6. Step 6: Final answer
    x = 22,644.88

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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.