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Finding the Fourth Proportional to 12,923.38, 17,832.97 and 7,257.70

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Solution

The fourth proportional to 12,923.38, 17,832.97 and 7,257.70 is: 10,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.38 : 17,832.97 = 7,257.70 : x
  2. Step 2: Convert to fraction form
    12,923.38/17,832.97 = 7,257.70/x
  3. Step 3: Cross multiply
    12,923.38x = 17,832.97 × 7,257.70
  4. Step 4: Simplify right side
    12,923.38x = 129,426,346.37
  5. Step 5: Solve for x
    x = 129,426,346.37/12,923.38
  6. Step 6: Final answer
    x = 10,014.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.