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Finding the Fourth Proportional to 14,121.50, 19,487.00 and 7,747.94

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Solution

The fourth proportional to 14,121.50, 19,487.00 and 7,747.94 is: 10,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.50 : 19,487.00 = 7,747.94 : x
  2. Step 2: Convert to fraction form
    14,121.50/19,487.00 = 7,747.94/x
  3. Step 3: Cross multiply
    14,121.50x = 19,487.00 × 7,747.94
  4. Step 4: Simplify right side
    14,121.50x = 150,984,174.87
  5. Step 5: Solve for x
    x = 150,984,174.87/14,121.50
  6. Step 6: Final answer
    x = 10,691.80

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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.