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Finding the Fourth Proportional to 20,146.99, 30,208.26 and 7,667.86

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Solution

The fourth proportional to 20,146.99, 30,208.26 and 7,667.86 is: 11,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.99 : 30,208.26 = 7,667.86 : x
  2. Step 2: Convert to fraction form
    20,146.99/30,208.26 = 7,667.86/x
  3. Step 3: Cross multiply
    20,146.99x = 30,208.26 × 7,667.86
  4. Step 4: Simplify right side
    20,146.99x = 231,632,708.52
  5. Step 5: Solve for x
    x = 231,632,708.52/20,146.99
  6. Step 6: Final answer
    x = 11,497.14

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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.