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Finding the Fourth Proportional to 20,146.16, 30,215.64 and 7,667.48

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Solution

The fourth proportional to 20,146.16, 30,215.64 and 7,667.48 is: 11,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.16 : 30,215.64 = 7,667.48 : x
  2. Step 2: Convert to fraction form
    20,146.16/30,215.64 = 7,667.48/x
  3. Step 3: Cross multiply
    20,146.16x = 30,215.64 × 7,667.48
  4. Step 4: Simplify right side
    20,146.16x = 231,677,815.39
  5. Step 5: Solve for x
    x = 231,677,815.39/20,146.16
  6. Step 6: Final answer
    x = 11,499.85

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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.