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Finding the Fourth Proportional to 12,857.59, 17,745.38 and 8,142.31

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Solution

The fourth proportional to 12,857.59, 17,745.38 and 8,142.31 is: 11,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.59 : 17,745.38 = 8,142.31 : x
  2. Step 2: Convert to fraction form
    12,857.59/17,745.38 = 8,142.31/x
  3. Step 3: Cross multiply
    12,857.59x = 17,745.38 × 8,142.31
  4. Step 4: Simplify right side
    12,857.59x = 144,488,385.03
  5. Step 5: Solve for x
    x = 144,488,385.03/12,857.59
  6. Step 6: Final answer
    x = 11,237.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.