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Finding the Fourth Proportional to 13,599.93, 20,375.76 and 5,685

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Solution

The fourth proportional to 13,599.93, 20,375.76 and 5,685 is: 8,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.93 : 20,375.76 = 5,685 : x
  2. Step 2: Convert to fraction form
    13,599.93/20,375.76 = 5,685/x
  3. Step 3: Cross multiply
    13,599.93x = 20,375.76 × 5,685
  4. Step 4: Simplify right side
    13,599.93x = 115,836,195.60
  5. Step 5: Solve for x
    x = 115,836,195.60/13,599.93
  6. Step 6: Final answer
    x = 8,517.41

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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.