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Finding the Fourth Proportional to 20,078.56, 30,117.84 and 7,769.44

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Solution

The fourth proportional to 20,078.56, 30,117.84 and 7,769.44 is: 11,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.56 : 30,117.84 = 7,769.44 : x
  2. Step 2: Convert to fraction form
    20,078.56/30,117.84 = 7,769.44/x
  3. Step 3: Cross multiply
    20,078.56x = 30,117.84 × 7,769.44
  4. Step 4: Simplify right side
    20,078.56x = 233,998,750.81
  5. Step 5: Solve for x
    x = 233,998,750.81/20,078.56
  6. Step 6: Final answer
    x = 11,654.16

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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.