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Finding the Fourth Proportional to 20,203.14, 30,309.60 and 6,876

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Solution

The fourth proportional to 20,203.14, 30,309.60 and 6,876 is: 10,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.14 : 30,309.60 = 6,876 : x
  2. Step 2: Convert to fraction form
    20,203.14/30,309.60 = 6,876/x
  3. Step 3: Cross multiply
    20,203.14x = 30,309.60 × 6,876
  4. Step 4: Simplify right side
    20,203.14x = 208,408,809.60
  5. Step 5: Solve for x
    x = 208,408,809.60/20,203.14
  6. Step 6: Final answer
    x = 10,315.66

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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.