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Finding the Fourth Proportional to 12,658.25, 18,998.96 and 6,422.57

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Solution

The fourth proportional to 12,658.25, 18,998.96 and 6,422.57 is: 9,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.25 : 18,998.96 = 6,422.57 : x
  2. Step 2: Convert to fraction form
    12,658.25/18,998.96 = 6,422.57/x
  3. Step 3: Cross multiply
    12,658.25x = 18,998.96 × 6,422.57
  4. Step 4: Simplify right side
    12,658.25x = 122,022,023.42
  5. Step 5: Solve for x
    x = 122,022,023.42/12,658.25
  6. Step 6: Final answer
    x = 9,639.73

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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.