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Finding the Fourth Proportional to 13,696.56, 20,544.90 and 5,380.50

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Solution

The fourth proportional to 13,696.56, 20,544.90 and 5,380.50 is: 8,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.56 : 20,544.90 = 5,380.50 : x
  2. Step 2: Convert to fraction form
    13,696.56/20,544.90 = 5,380.50/x
  3. Step 3: Cross multiply
    13,696.56x = 20,544.90 × 5,380.50
  4. Step 4: Simplify right side
    13,696.56x = 110,541,834.45
  5. Step 5: Solve for x
    x = 110,541,834.45/13,696.56
  6. Step 6: Final answer
    x = 8,070.77

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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.