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Finding the Fourth Proportional to 14,021.88, 19,350.20 and 7,734.66

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Solution

The fourth proportional to 14,021.88, 19,350.20 and 7,734.66 is: 10,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.88 : 19,350.20 = 7,734.66 : x
  2. Step 2: Convert to fraction form
    14,021.88/19,350.20 = 7,734.66/x
  3. Step 3: Cross multiply
    14,021.88x = 19,350.20 × 7,734.66
  4. Step 4: Simplify right side
    14,021.88x = 149,667,217.93
  5. Step 5: Solve for x
    x = 149,667,217.93/14,021.88
  6. Step 6: Final answer
    x = 10,673.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.