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Finding the Fourth Proportional to 21,230.72, 31,846.20 and 6,439.66

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Solution

The fourth proportional to 21,230.72, 31,846.20 and 6,439.66 is: 9,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.72 : 31,846.20 = 6,439.66 : x
  2. Step 2: Convert to fraction form
    21,230.72/31,846.20 = 6,439.66/x
  3. Step 3: Cross multiply
    21,230.72x = 31,846.20 × 6,439.66
  4. Step 4: Simplify right side
    21,230.72x = 205,078,632.75
  5. Step 5: Solve for x
    x = 205,078,632.75/21,230.72
  6. Step 6: Final answer
    x = 9,659.52

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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.