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Finding the Fourth Proportional to 20,043.76, 30,064.74 and 6,896.20

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Solution

The fourth proportional to 20,043.76, 30,064.74 and 6,896.20 is: 10,343.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.76 : 30,064.74 = 6,896.20 : x
  2. Step 2: Convert to fraction form
    20,043.76/30,064.74 = 6,896.20/x
  3. Step 3: Cross multiply
    20,043.76x = 30,064.74 × 6,896.20
  4. Step 4: Simplify right side
    20,043.76x = 207,332,459.99
  5. Step 5: Solve for x
    x = 207,332,459.99/20,043.76
  6. Step 6: Final answer
    x = 10,343.99

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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.