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Finding the Fourth Proportional to 20,452.81, 30,701.99 and 10,589.44

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Solution

The fourth proportional to 20,452.81, 30,701.99 and 10,589.44 is: 15,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.81 : 30,701.99 = 10,589.44 : x
  2. Step 2: Convert to fraction form
    20,452.81/30,701.99 = 10,589.44/x
  3. Step 3: Cross multiply
    20,452.81x = 30,701.99 × 10,589.44
  4. Step 4: Simplify right side
    20,452.81x = 325,116,804.23
  5. Step 5: Solve for x
    x = 325,116,804.23/20,452.81
  6. Step 6: Final answer
    x = 15,895.95

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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.