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Finding the Fourth Proportional to 20,408.35, 30,619.14 and 10,012.81

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Solution

The fourth proportional to 20,408.35, 30,619.14 and 10,012.81 is: 15,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.35 : 30,619.14 = 10,012.81 : x
  2. Step 2: Convert to fraction form
    20,408.35/30,619.14 = 10,012.81/x
  3. Step 3: Cross multiply
    20,408.35x = 30,619.14 × 10,012.81
  4. Step 4: Simplify right side
    20,408.35x = 306,583,631.18
  5. Step 5: Solve for x
    x = 306,583,631.18/20,408.35
  6. Step 6: Final answer
    x = 15,022.46

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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.