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Finding the Fourth Proportional to 12,659.64, 18,997.62 and 6,820.32

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Solution

The fourth proportional to 12,659.64, 18,997.62 and 6,820.32 is: 10,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.64 : 18,997.62 = 6,820.32 : x
  2. Step 2: Convert to fraction form
    12,659.64/18,997.62 = 6,820.32/x
  3. Step 3: Cross multiply
    12,659.64x = 18,997.62 × 6,820.32
  4. Step 4: Simplify right side
    12,659.64x = 129,569,847.64
  5. Step 5: Solve for x
    x = 129,569,847.64/12,659.64
  6. Step 6: Final answer
    x = 10,234.88

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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.