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Finding the Fourth Proportional to 18,439.11, 27,658.70 and 7,902.30

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Solution

The fourth proportional to 18,439.11, 27,658.70 and 7,902.30 is: 11,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,439.11 : 27,658.70 = 7,902.30 : x
  2. Step 2: Convert to fraction form
    18,439.11/27,658.70 = 7,902.30/x
  3. Step 3: Cross multiply
    18,439.11x = 27,658.70 × 7,902.30
  4. Step 4: Simplify right side
    18,439.11x = 218,567,305.50
  5. Step 5: Solve for x
    x = 218,567,305.50/18,439.11
  6. Step 6: Final answer
    x = 11,853.46

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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.