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Finding the Fourth Proportional to 20,276.76, 30,428.82 and 7,129.20

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Solution

The fourth proportional to 20,276.76, 30,428.82 and 7,129.20 is: 10,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,276.76 : 30,428.82 = 7,129.20 : x
  2. Step 2: Convert to fraction form
    20,276.76/30,428.82 = 7,129.20/x
  3. Step 3: Cross multiply
    20,276.76x = 30,428.82 × 7,129.20
  4. Step 4: Simplify right side
    20,276.76x = 216,933,143.54
  5. Step 5: Solve for x
    x = 216,933,143.54/20,276.76
  6. Step 6: Final answer
    x = 10,698.61

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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.