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Finding the Fourth Proportional to 20,530.53, 30,800.40 and 6,491.37

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Solution

The fourth proportional to 20,530.53, 30,800.40 and 6,491.37 is: 9,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.53 : 30,800.40 = 6,491.37 : x
  2. Step 2: Convert to fraction form
    20,530.53/30,800.40 = 6,491.37/x
  3. Step 3: Cross multiply
    20,530.53x = 30,800.40 × 6,491.37
  4. Step 4: Simplify right side
    20,530.53x = 199,936,792.55
  5. Step 5: Solve for x
    x = 199,936,792.55/20,530.53
  6. Step 6: Final answer
    x = 9,738.51

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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.