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Finding the Fourth Proportional to 12,496.78, 18,745.20 and 4,288.78

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Solution

The fourth proportional to 12,496.78, 18,745.20 and 4,288.78 is: 6,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.78 : 18,745.20 = 4,288.78 : x
  2. Step 2: Convert to fraction form
    12,496.78/18,745.20 = 4,288.78/x
  3. Step 3: Cross multiply
    12,496.78x = 18,745.20 × 4,288.78
  4. Step 4: Simplify right side
    12,496.78x = 80,394,038.86
  5. Step 5: Solve for x
    x = 80,394,038.86/12,496.78
  6. Step 6: Final answer
    x = 6,433.18

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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.