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Finding the Fourth Proportional to 12,367.83, 17,067.63 and 6,702.58

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Solution

The fourth proportional to 12,367.83, 17,067.63 and 6,702.58 is: 9,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.83 : 17,067.63 = 6,702.58 : x
  2. Step 2: Convert to fraction form
    12,367.83/17,067.63 = 6,702.58/x
  3. Step 3: Cross multiply
    12,367.83x = 17,067.63 × 6,702.58
  4. Step 4: Simplify right side
    12,367.83x = 114,397,155.49
  5. Step 5: Solve for x
    x = 114,397,155.49/12,367.83
  6. Step 6: Final answer
    x = 9,249.57

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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.