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Finding the Fourth Proportional to 12,138.24, 16,747.68 and 7,420.80

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Solution

The fourth proportional to 12,138.24, 16,747.68 and 7,420.80 is: 10,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.24 : 16,747.68 = 7,420.80 : x
  2. Step 2: Convert to fraction form
    12,138.24/16,747.68 = 7,420.80/x
  3. Step 3: Cross multiply
    12,138.24x = 16,747.68 × 7,420.80
  4. Step 4: Simplify right side
    12,138.24x = 124,281,183.74
  5. Step 5: Solve for x
    x = 124,281,183.74/12,138.24
  6. Step 6: Final answer
    x = 10,238.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.