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Finding the Fourth Proportional to 29,674.10, 44,517.23 and 9,966.80

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Solution

The fourth proportional to 29,674.10, 44,517.23 and 9,966.80 is: 14,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674.10 : 44,517.23 = 9,966.80 : x
  2. Step 2: Convert to fraction form
    29,674.10/44,517.23 = 9,966.80/x
  3. Step 3: Cross multiply
    29,674.10x = 44,517.23 × 9,966.80
  4. Step 4: Simplify right side
    29,674.10x = 443,694,327.96
  5. Step 5: Solve for x
    x = 443,694,327.96/29,674.10
  6. Step 6: Final answer
    x = 14,952.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.