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Finding the Fourth Proportional to 20,145.93, 30,206.97 and 6,101.70

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Solution

The fourth proportional to 20,145.93, 30,206.97 and 6,101.70 is: 9,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.93 : 30,206.97 = 6,101.70 : x
  2. Step 2: Convert to fraction form
    20,145.93/30,206.97 = 6,101.70/x
  3. Step 3: Cross multiply
    20,145.93x = 30,206.97 × 6,101.70
  4. Step 4: Simplify right side
    20,145.93x = 184,313,868.85
  5. Step 5: Solve for x
    x = 184,313,868.85/20,145.93
  6. Step 6: Final answer
    x = 9,148.94

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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.