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Finding the Fourth Proportional to 20,098.15, 30,150.20 and 6,946.99

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Solution

The fourth proportional to 20,098.15, 30,150.20 and 6,946.99 is: 10,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.15 : 30,150.20 = 6,946.99 : x
  2. Step 2: Convert to fraction form
    20,098.15/30,150.20 = 6,946.99/x
  3. Step 3: Cross multiply
    20,098.15x = 30,150.20 × 6,946.99
  4. Step 4: Simplify right side
    20,098.15x = 209,453,103.16
  5. Step 5: Solve for x
    x = 209,453,103.16/20,098.15
  6. Step 6: Final answer
    x = 10,421.51

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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.