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Finding the Fourth Proportional to 20,010.78, 30,034.99 and 10,157.13

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Solution

The fourth proportional to 20,010.78, 30,034.99 and 10,157.13 is: 15,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,010.78 : 30,034.99 = 10,157.13 : x
  2. Step 2: Convert to fraction form
    20,010.78/30,034.99 = 10,157.13/x
  3. Step 3: Cross multiply
    20,010.78x = 30,034.99 × 10,157.13
  4. Step 4: Simplify right side
    20,010.78x = 305,069,297.98
  5. Step 5: Solve for x
    x = 305,069,297.98/20,010.78
  6. Step 6: Final answer
    x = 15,245.25

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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.