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Finding the Fourth Proportional to 20,517.28, 30,765.66 and 10,653.82

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Solution

The fourth proportional to 20,517.28, 30,765.66 and 10,653.82 is: 15,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.28 : 30,765.66 = 10,653.82 : x
  2. Step 2: Convert to fraction form
    20,517.28/30,765.66 = 10,653.82/x
  3. Step 3: Cross multiply
    20,517.28x = 30,765.66 × 10,653.82
  4. Step 4: Simplify right side
    20,517.28x = 327,771,803.82
  5. Step 5: Solve for x
    x = 327,771,803.82/20,517.28
  6. Step 6: Final answer
    x = 15,975.40

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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.