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Finding the Fourth Proportional to 12,310.12, 18,467.52 and 6,760.48

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Solution

The fourth proportional to 12,310.12, 18,467.52 and 6,760.48 is: 10,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.12 : 18,467.52 = 6,760.48 : x
  2. Step 2: Convert to fraction form
    12,310.12/18,467.52 = 6,760.48/x
  3. Step 3: Cross multiply
    12,310.12x = 18,467.52 × 6,760.48
  4. Step 4: Simplify right side
    12,310.12x = 124,849,299.61
  5. Step 5: Solve for x
    x = 124,849,299.61/12,310.12
  6. Step 6: Final answer
    x = 10,142.01

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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.