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Finding the Fourth Proportional to 29,922.41, 41,293.20 and 16,494.15

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Solution

The fourth proportional to 29,922.41, 41,293.20 and 16,494.15 is: 22,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,922.41 : 41,293.20 = 16,494.15 : x
  2. Step 2: Convert to fraction form
    29,922.41/41,293.20 = 16,494.15/x
  3. Step 3: Cross multiply
    29,922.41x = 41,293.20 × 16,494.15
  4. Step 4: Simplify right side
    29,922.41x = 681,096,234.78
  5. Step 5: Solve for x
    x = 681,096,234.78/29,922.41
  6. Step 6: Final answer
    x = 22,762.08

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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.