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Finding the Fourth Proportional to 12,257.96, 18,389.33 and 3,937.34

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Solution

The fourth proportional to 12,257.96, 18,389.33 and 3,937.34 is: 5,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.96 : 18,389.33 = 3,937.34 : x
  2. Step 2: Convert to fraction form
    12,257.96/18,389.33 = 3,937.34/x
  3. Step 3: Cross multiply
    12,257.96x = 18,389.33 × 3,937.34
  4. Step 4: Simplify right side
    12,257.96x = 72,404,932.95
  5. Step 5: Solve for x
    x = 72,404,932.95/12,257.96
  6. Step 6: Final answer
    x = 5,906.77

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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.