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Finding the Fourth Proportional to 12,334.56, 17,020.17 and 7,856.48

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Solution

The fourth proportional to 12,334.56, 17,020.17 and 7,856.48 is: 10,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.56 : 17,020.17 = 7,856.48 : x
  2. Step 2: Convert to fraction form
    12,334.56/17,020.17 = 7,856.48/x
  3. Step 3: Cross multiply
    12,334.56x = 17,020.17 × 7,856.48
  4. Step 4: Simplify right side
    12,334.56x = 133,718,540.10
  5. Step 5: Solve for x
    x = 133,718,540.10/12,334.56
  6. Step 6: Final answer
    x = 10,840.97

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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.