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Finding the Fourth Proportional to 20,560.01, 30,837.71 and 5,769.50

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Solution

The fourth proportional to 20,560.01, 30,837.71 and 5,769.50 is: 8,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,560.01 : 30,837.71 = 5,769.50 : x
  2. Step 2: Convert to fraction form
    20,560.01/30,837.71 = 5,769.50/x
  3. Step 3: Cross multiply
    20,560.01x = 30,837.71 × 5,769.50
  4. Step 4: Simplify right side
    20,560.01x = 177,918,028.08
  5. Step 5: Solve for x
    x = 177,918,028.08/20,560.01
  6. Step 6: Final answer
    x = 8,653.60

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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.