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Finding the Fourth Proportional to 12,715.56, 17,553.24 and 8,184.78

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Solution

The fourth proportional to 12,715.56, 17,553.24 and 8,184.78 is: 11,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.56 : 17,553.24 = 8,184.78 : x
  2. Step 2: Convert to fraction form
    12,715.56/17,553.24 = 8,184.78/x
  3. Step 3: Cross multiply
    12,715.56x = 17,553.24 × 8,184.78
  4. Step 4: Simplify right side
    12,715.56x = 143,669,407.69
  5. Step 5: Solve for x
    x = 143,669,407.69/12,715.56
  6. Step 6: Final answer
    x = 11,298.71

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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.