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Finding the Fourth Proportional to 20,099.70, 30,146.93 and 5,309.73

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Solution

The fourth proportional to 20,099.70, 30,146.93 and 5,309.73 is: 7,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.70 : 30,146.93 = 5,309.73 : x
  2. Step 2: Convert to fraction form
    20,099.70/30,146.93 = 5,309.73/x
  3. Step 3: Cross multiply
    20,099.70x = 30,146.93 × 5,309.73
  4. Step 4: Simplify right side
    20,099.70x = 160,072,032.08
  5. Step 5: Solve for x
    x = 160,072,032.08/20,099.70
  6. Step 6: Final answer
    x = 7,963.90

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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.