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Finding the Fourth Proportional to 17,857.70, 24,644.44 and 10,201.65

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Solution

The fourth proportional to 17,857.70, 24,644.44 and 10,201.65 is: 14,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.70 : 24,644.44 = 10,201.65 : x
  2. Step 2: Convert to fraction form
    17,857.70/24,644.44 = 10,201.65/x
  3. Step 3: Cross multiply
    17,857.70x = 24,644.44 × 10,201.65
  4. Step 4: Simplify right side
    17,857.70x = 251,413,814.28
  5. Step 5: Solve for x
    x = 251,413,814.28/17,857.70
  6. Step 6: Final answer
    x = 14,078.74

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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.