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Finding the Fourth Proportional to 13,229.66, 19,856.28 and 6,659.66

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Solution

The fourth proportional to 13,229.66, 19,856.28 and 6,659.66 is: 9,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.66 : 19,856.28 = 6,659.66 : x
  2. Step 2: Convert to fraction form
    13,229.66/19,856.28 = 6,659.66/x
  3. Step 3: Cross multiply
    13,229.66x = 19,856.28 × 6,659.66
  4. Step 4: Simplify right side
    13,229.66x = 132,236,073.66
  5. Step 5: Solve for x
    x = 132,236,073.66/13,229.66
  6. Step 6: Final answer
    x = 9,995.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.