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Finding the Fourth Proportional to 29,877.90, 41,229.84 and 16,446.97

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Solution

The fourth proportional to 29,877.90, 41,229.84 and 16,446.97 is: 22,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.90 : 41,229.84 = 16,446.97 : x
  2. Step 2: Convert to fraction form
    29,877.90/41,229.84 = 16,446.97/x
  3. Step 3: Cross multiply
    29,877.90x = 41,229.84 × 16,446.97
  4. Step 4: Simplify right side
    29,877.90x = 678,105,941.58
  5. Step 5: Solve for x
    x = 678,105,941.58/29,877.90
  6. Step 6: Final answer
    x = 22,695.90

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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.