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Finding the Fourth Proportional to 29,850.71, 41,194.17 and 16,421.63

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Solution

The fourth proportional to 29,850.71, 41,194.17 and 16,421.63 is: 22,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850.71 : 41,194.17 = 16,421.63 : x
  2. Step 2: Convert to fraction form
    29,850.71/41,194.17 = 16,421.63/x
  3. Step 3: Cross multiply
    29,850.71x = 41,194.17 × 16,421.63
  4. Step 4: Simplify right side
    29,850.71x = 676,475,211.93
  5. Step 5: Solve for x
    x = 676,475,211.93/29,850.71
  6. Step 6: Final answer
    x = 22,661.95

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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.