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Finding the Fourth Proportional to 12,643.76, 17,449.24 and 7,338.56

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Solution

The fourth proportional to 12,643.76, 17,449.24 and 7,338.56 is: 10,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.76 : 17,449.24 = 7,338.56 : x
  2. Step 2: Convert to fraction form
    12,643.76/17,449.24 = 7,338.56/x
  3. Step 3: Cross multiply
    12,643.76x = 17,449.24 × 7,338.56
  4. Step 4: Simplify right side
    12,643.76x = 128,052,294.69
  5. Step 5: Solve for x
    x = 128,052,294.69/12,643.76
  6. Step 6: Final answer
    x = 10,127.71

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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.