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Finding the Fourth Proportional to 20,570.63, 30,857.43 and 10,049.42

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Solution

The fourth proportional to 20,570.63, 30,857.43 and 10,049.42 is: 15,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.63 : 30,857.43 = 10,049.42 : x
  2. Step 2: Convert to fraction form
    20,570.63/30,857.43 = 10,049.42/x
  3. Step 3: Cross multiply
    20,570.63x = 30,857.43 × 10,049.42
  4. Step 4: Simplify right side
    20,570.63x = 310,099,187.18
  5. Step 5: Solve for x
    x = 310,099,187.18/20,570.63
  6. Step 6: Final answer
    x = 15,074.85

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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.