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Finding the Fourth Proportional to 14,092.78, 21,138.50 and 5,770.73

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Solution

The fourth proportional to 14,092.78, 21,138.50 and 5,770.73 is: 8,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.78 : 21,138.50 = 5,770.73 : x
  2. Step 2: Convert to fraction form
    14,092.78/21,138.50 = 5,770.73/x
  3. Step 3: Cross multiply
    14,092.78x = 21,138.50 × 5,770.73
  4. Step 4: Simplify right side
    14,092.78x = 121,984,643.38
  5. Step 5: Solve for x
    x = 121,984,643.38/14,092.78
  6. Step 6: Final answer
    x = 8,655.83

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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.