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Finding the Fourth Proportional to 19,671.89, 29,515.13 and 9,147.56

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Solution

The fourth proportional to 19,671.89, 29,515.13 and 9,147.56 is: 13,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.89 : 29,515.13 = 9,147.56 : x
  2. Step 2: Convert to fraction form
    19,671.89/29,515.13 = 9,147.56/x
  3. Step 3: Cross multiply
    19,671.89x = 29,515.13 × 9,147.56
  4. Step 4: Simplify right side
    19,671.89x = 269,991,229.27
  5. Step 5: Solve for x
    x = 269,991,229.27/19,671.89
  6. Step 6: Final answer
    x = 13,724.73

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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.