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Finding the Fourth Proportional to 13,599.66, 20,380.05 and 7,744.17

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Solution

The fourth proportional to 13,599.66, 20,380.05 and 7,744.17 is: 11,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.66 : 20,380.05 = 7,744.17 : x
  2. Step 2: Convert to fraction form
    13,599.66/20,380.05 = 7,744.17/x
  3. Step 3: Cross multiply
    13,599.66x = 20,380.05 × 7,744.17
  4. Step 4: Simplify right side
    13,599.66x = 157,826,571.81
  5. Step 5: Solve for x
    x = 157,826,571.81/13,599.66
  6. Step 6: Final answer
    x = 11,605.19

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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.