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Finding the Fourth Proportional to 20,214.54, 30,322.92 and 6,176.70

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Solution

The fourth proportional to 20,214.54, 30,322.92 and 6,176.70 is: 9,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.54 : 30,322.92 = 6,176.70 : x
  2. Step 2: Convert to fraction form
    20,214.54/30,322.92 = 6,176.70/x
  3. Step 3: Cross multiply
    20,214.54x = 30,322.92 × 6,176.70
  4. Step 4: Simplify right side
    20,214.54x = 187,295,579.96
  5. Step 5: Solve for x
    x = 187,295,579.96/20,214.54
  6. Step 6: Final answer
    x = 9,265.39

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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.