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Finding the Fourth Proportional to 21,196.89, 31,791.69 and 7,686.70

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Solution

The fourth proportional to 21,196.89, 31,791.69 and 7,686.70 is: 11,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.89 : 31,791.69 = 7,686.70 : x
  2. Step 2: Convert to fraction form
    21,196.89/31,791.69 = 7,686.70/x
  3. Step 3: Cross multiply
    21,196.89x = 31,791.69 × 7,686.70
  4. Step 4: Simplify right side
    21,196.89x = 244,373,104.04
  5. Step 5: Solve for x
    x = 244,373,104.04/21,196.89
  6. Step 6: Final answer
    x = 11,528.72

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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.