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Finding the Fourth Proportional to 29,382.12, 44,080.53 and 9,660.81

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Solution

The fourth proportional to 29,382.12, 44,080.53 and 9,660.81 is: 14,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.12 : 44,080.53 = 9,660.81 : x
  2. Step 2: Convert to fraction form
    29,382.12/44,080.53 = 9,660.81/x
  3. Step 3: Cross multiply
    29,382.12x = 44,080.53 × 9,660.81
  4. Step 4: Simplify right side
    29,382.12x = 425,853,625.03
  5. Step 5: Solve for x
    x = 425,853,625.03/29,382.12
  6. Step 6: Final answer
    x = 14,493.63

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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.