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Finding the Fourth Proportional to 12,257.34, 18,379.29 and 5,679.90

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Solution

The fourth proportional to 12,257.34, 18,379.29 and 5,679.90 is: 8,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.34 : 18,379.29 = 5,679.90 : x
  2. Step 2: Convert to fraction form
    12,257.34/18,379.29 = 5,679.90/x
  3. Step 3: Cross multiply
    12,257.34x = 18,379.29 × 5,679.90
  4. Step 4: Simplify right side
    12,257.34x = 104,392,529.27
  5. Step 5: Solve for x
    x = 104,392,529.27/12,257.34
  6. Step 6: Final answer
    x = 8,516.74

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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.