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Finding the Fourth Proportional to 20,805.74, 31,220.94 and 7,667.34

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Solution

The fourth proportional to 20,805.74, 31,220.94 and 7,667.34 is: 11,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.74 : 31,220.94 = 7,667.34 : x
  2. Step 2: Convert to fraction form
    20,805.74/31,220.94 = 7,667.34/x
  3. Step 3: Cross multiply
    20,805.74x = 31,220.94 × 7,667.34
  4. Step 4: Simplify right side
    20,805.74x = 239,381,562.10
  5. Step 5: Solve for x
    x = 239,381,562.10/20,805.74
  6. Step 6: Final answer
    x = 11,505.55

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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.