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Finding the Fourth Proportional to 18,471.62, 27,706.70 and 7,374.98

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Solution

The fourth proportional to 18,471.62, 27,706.70 and 7,374.98 is: 11,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.62 : 27,706.70 = 7,374.98 : x
  2. Step 2: Convert to fraction form
    18,471.62/27,706.70 = 7,374.98/x
  3. Step 3: Cross multiply
    18,471.62x = 27,706.70 × 7,374.98
  4. Step 4: Simplify right side
    18,471.62x = 204,336,358.37
  5. Step 5: Solve for x
    x = 204,336,358.37/18,471.62
  6. Step 6: Final answer
    x = 11,062.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.