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Finding the Fourth Proportional to 13,573.24, 18,732.92 and 7,606.17

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Solution

The fourth proportional to 13,573.24, 18,732.92 and 7,606.17 is: 10,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.24 : 18,732.92 = 7,606.17 : x
  2. Step 2: Convert to fraction form
    13,573.24/18,732.92 = 7,606.17/x
  3. Step 3: Cross multiply
    13,573.24x = 18,732.92 × 7,606.17
  4. Step 4: Simplify right side
    13,573.24x = 142,485,736.09
  5. Step 5: Solve for x
    x = 142,485,736.09/13,573.24
  6. Step 6: Final answer
    x = 10,497.55

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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.