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Finding the Fourth Proportional to 13,744.33, 20,616.44 and 4,977.19

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Solution

The fourth proportional to 13,744.33, 20,616.44 and 4,977.19 is: 7,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.33 : 20,616.44 = 4,977.19 : x
  2. Step 2: Convert to fraction form
    13,744.33/20,616.44 = 4,977.19/x
  3. Step 3: Cross multiply
    13,744.33x = 20,616.44 × 4,977.19
  4. Step 4: Simplify right side
    13,744.33x = 102,611,939.00
  5. Step 5: Solve for x
    x = 102,611,939.00/13,744.33
  6. Step 6: Final answer
    x = 7,465.77

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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.