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Finding the Fourth Proportional to 19,951.56, 29,923.92 and 6,804

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Solution

The fourth proportional to 19,951.56, 29,923.92 and 6,804 is: 10,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.56 : 29,923.92 = 6,804 : x
  2. Step 2: Convert to fraction form
    19,951.56/29,923.92 = 6,804/x
  3. Step 3: Cross multiply
    19,951.56x = 29,923.92 × 6,804
  4. Step 4: Simplify right side
    19,951.56x = 203,602,351.68
  5. Step 5: Solve for x
    x = 203,602,351.68/19,951.56
  6. Step 6: Final answer
    x = 10,204.83

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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.