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Finding the Fourth Proportional to 12,463.43, 18,682.02 and 4,141.21

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Solution

The fourth proportional to 12,463.43, 18,682.02 and 4,141.21 is: 6,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.43 : 18,682.02 = 4,141.21 : x
  2. Step 2: Convert to fraction form
    12,463.43/18,682.02 = 4,141.21/x
  3. Step 3: Cross multiply
    12,463.43x = 18,682.02 × 4,141.21
  4. Step 4: Simplify right side
    12,463.43x = 77,366,168.04
  5. Step 5: Solve for x
    x = 77,366,168.04/12,463.43
  6. Step 6: Final answer
    x = 6,207.45

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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.