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Finding the Fourth Proportional to 13,309.80, 18,366.96 and 7,640.64

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Solution

The fourth proportional to 13,309.80, 18,366.96 and 7,640.64 is: 10,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.80 : 18,366.96 = 7,640.64 : x
  2. Step 2: Convert to fraction form
    13,309.80/18,366.96 = 7,640.64/x
  3. Step 3: Cross multiply
    13,309.80x = 18,366.96 × 7,640.64
  4. Step 4: Simplify right side
    13,309.80x = 140,335,329.25
  5. Step 5: Solve for x
    x = 140,335,329.25/13,309.80
  6. Step 6: Final answer
    x = 10,543.76

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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.