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Finding the Fourth Proportional to 13,405.57, 20,087.83 and 7,166.46

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Solution

The fourth proportional to 13,405.57, 20,087.83 and 7,166.46 is: 10,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.57 : 20,087.83 = 7,166.46 : x
  2. Step 2: Convert to fraction form
    13,405.57/20,087.83 = 7,166.46/x
  3. Step 3: Cross multiply
    13,405.57x = 20,087.83 × 7,166.46
  4. Step 4: Simplify right side
    13,405.57x = 143,958,612.27
  5. Step 5: Solve for x
    x = 143,958,612.27/13,405.57
  6. Step 6: Final answer
    x = 10,738.72

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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.