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Finding the Fourth Proportional to 12,401.20, 18,601.80 and 7,468.30

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Solution

The fourth proportional to 12,401.20, 18,601.80 and 7,468.30 is: 11,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.20 : 18,601.80 = 7,468.30 : x
  2. Step 2: Convert to fraction form
    12,401.20/18,601.80 = 7,468.30/x
  3. Step 3: Cross multiply
    12,401.20x = 18,601.80 × 7,468.30
  4. Step 4: Simplify right side
    12,401.20x = 138,923,822.94
  5. Step 5: Solve for x
    x = 138,923,822.94/12,401.20
  6. Step 6: Final answer
    x = 11,202.45

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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.