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Finding the Fourth Proportional to 19,771.30, 29,667.89 and 8,092.72

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Solution

The fourth proportional to 19,771.30, 29,667.89 and 8,092.72 is: 12,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.30 : 29,667.89 = 8,092.72 : x
  2. Step 2: Convert to fraction form
    19,771.30/29,667.89 = 8,092.72/x
  3. Step 3: Cross multiply
    19,771.30x = 29,667.89 × 8,092.72
  4. Step 4: Simplify right side
    19,771.30x = 240,093,926.76
  5. Step 5: Solve for x
    x = 240,093,926.76/19,771.30
  6. Step 6: Final answer
    x = 12,143.56

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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.