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Finding the Fourth Proportional to 13,738.89, 20,601.41 and 9,787.89

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Solution

The fourth proportional to 13,738.89, 20,601.41 and 9,787.89 is: 14,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.89 : 20,601.41 = 9,787.89 : x
  2. Step 2: Convert to fraction form
    13,738.89/20,601.41 = 9,787.89/x
  3. Step 3: Cross multiply
    13,738.89x = 20,601.41 × 9,787.89
  4. Step 4: Simplify right side
    13,738.89x = 201,644,285.99
  5. Step 5: Solve for x
    x = 201,644,285.99/13,738.89
  6. Step 6: Final answer
    x = 14,676.90

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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.