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Finding the Fourth Proportional to 13,787.01, 20,676.87 and 5,994

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Solution

The fourth proportional to 13,787.01, 20,676.87 and 5,994 is: 8,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.01 : 20,676.87 = 5,994 : x
  2. Step 2: Convert to fraction form
    13,787.01/20,676.87 = 5,994/x
  3. Step 3: Cross multiply
    13,787.01x = 20,676.87 × 5,994
  4. Step 4: Simplify right side
    13,787.01x = 123,937,158.78
  5. Step 5: Solve for x
    x = 123,937,158.78/13,787.01
  6. Step 6: Final answer
    x = 8,989.42

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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.