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Finding the Fourth Proportional to 13,690.57, 18,891.12 and 7,640.11

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Solution

The fourth proportional to 13,690.57, 18,891.12 and 7,640.11 is: 10,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.57 : 18,891.12 = 7,640.11 : x
  2. Step 2: Convert to fraction form
    13,690.57/18,891.12 = 7,640.11/x
  3. Step 3: Cross multiply
    13,690.57x = 18,891.12 × 7,640.11
  4. Step 4: Simplify right side
    13,690.57x = 144,330,234.82
  5. Step 5: Solve for x
    x = 144,330,234.82/13,690.57
  6. Step 6: Final answer
    x = 10,542.31

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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.