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Finding the Fourth Proportional to 20,805.60, 31,220.76 and 7,667.19

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Solution

The fourth proportional to 20,805.60, 31,220.76 and 7,667.19 is: 11,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.60 : 31,220.76 = 7,667.19 : x
  2. Step 2: Convert to fraction form
    20,805.60/31,220.76 = 7,667.19/x
  3. Step 3: Cross multiply
    20,805.60x = 31,220.76 × 7,667.19
  4. Step 4: Simplify right side
    20,805.60x = 239,375,498.86
  5. Step 5: Solve for x
    x = 239,375,498.86/20,805.60
  6. Step 6: Final answer
    x = 11,505.34

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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.