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Finding the Fourth Proportional to 12,392.81, 18,579.50 and 6,148.43

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Solution

The fourth proportional to 12,392.81, 18,579.50 and 6,148.43 is: 9,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392.81 : 18,579.50 = 6,148.43 : x
  2. Step 2: Convert to fraction form
    12,392.81/18,579.50 = 6,148.43/x
  3. Step 3: Cross multiply
    12,392.81x = 18,579.50 × 6,148.43
  4. Step 4: Simplify right side
    12,392.81x = 114,234,724.44
  5. Step 5: Solve for x
    x = 114,234,724.44/12,392.81
  6. Step 6: Final answer
    x = 9,217.82

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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.