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Finding the Fourth Proportional to 29,714.27, 41,005.76 and 16,286.02

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Solution

The fourth proportional to 29,714.27, 41,005.76 and 16,286.02 is: 22,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.27 : 41,005.76 = 16,286.02 : x
  2. Step 2: Convert to fraction form
    29,714.27/41,005.76 = 16,286.02/x
  3. Step 3: Cross multiply
    29,714.27x = 41,005.76 × 16,286.02
  4. Step 4: Simplify right side
    29,714.27x = 667,820,443.53
  5. Step 5: Solve for x
    x = 667,820,443.53/29,714.27
  6. Step 6: Final answer
    x = 22,474.74

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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.