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Finding the Fourth Proportional to 12,168.64, 18,238.92 and 4,765.78

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Solution

The fourth proportional to 12,168.64, 18,238.92 and 4,765.78 is: 7,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168.64 : 18,238.92 = 4,765.78 : x
  2. Step 2: Convert to fraction form
    12,168.64/18,238.92 = 4,765.78/x
  3. Step 3: Cross multiply
    12,168.64x = 18,238.92 × 4,765.78
  4. Step 4: Simplify right side
    12,168.64x = 86,922,680.16
  5. Step 5: Solve for x
    x = 86,922,680.16/12,168.64
  6. Step 6: Final answer
    x = 7,143.17

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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.