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Finding the Fourth Proportional to 12,317.28, 17,004.81 and 8,137.68

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Solution

The fourth proportional to 12,317.28, 17,004.81 and 8,137.68 is: 11,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.28 : 17,004.81 = 8,137.68 : x
  2. Step 2: Convert to fraction form
    12,317.28/17,004.81 = 8,137.68/x
  3. Step 3: Cross multiply
    12,317.28x = 17,004.81 × 8,137.68
  4. Step 4: Simplify right side
    12,317.28x = 138,379,702.24
  5. Step 5: Solve for x
    x = 138,379,702.24/12,317.28
  6. Step 6: Final answer
    x = 11,234.60

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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.