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Finding the Fourth Proportional to 12,381.46, 18,574.31 and 6,141.83

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Solution

The fourth proportional to 12,381.46, 18,574.31 and 6,141.83 is: 9,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.46 : 18,574.31 = 6,141.83 : x
  2. Step 2: Convert to fraction form
    12,381.46/18,574.31 = 6,141.83/x
  3. Step 3: Cross multiply
    12,381.46x = 18,574.31 × 6,141.83
  4. Step 4: Simplify right side
    12,381.46x = 114,080,176.87
  5. Step 5: Solve for x
    x = 114,080,176.87/12,381.46
  6. Step 6: Final answer
    x = 9,213.79

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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.