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Finding the Fourth Proportional to 29,194.26, 40,285.80 and 16,446.78

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Solution

The fourth proportional to 29,194.26, 40,285.80 and 16,446.78 is: 22,695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,194.26 : 40,285.80 = 16,446.78 : x
  2. Step 2: Convert to fraction form
    29,194.26/40,285.80 = 16,446.78/x
  3. Step 3: Cross multiply
    29,194.26x = 40,285.80 × 16,446.78
  4. Step 4: Simplify right side
    29,194.26x = 662,571,689.72
  5. Step 5: Solve for x
    x = 662,571,689.72/29,194.26
  6. Step 6: Final answer
    x = 22,695.27

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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.