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Finding the Fourth Proportional to 20,078.70, 30,122.83 and 6,931.18

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Solution

The fourth proportional to 20,078.70, 30,122.83 and 6,931.18 is: 10,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.70 : 30,122.83 = 6,931.18 : x
  2. Step 2: Convert to fraction form
    20,078.70/30,122.83 = 6,931.18/x
  3. Step 3: Cross multiply
    20,078.70x = 30,122.83 × 6,931.18
  4. Step 4: Simplify right side
    20,078.70x = 208,786,756.84
  5. Step 5: Solve for x
    x = 208,786,756.84/20,078.70
  6. Step 6: Final answer
    x = 10,398.42

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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.