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Finding the Fourth Proportional to 13,544.77, 20,317.05 and 3,684

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Solution

The fourth proportional to 13,544.77, 20,317.05 and 3,684 is: 5,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.77 : 20,317.05 = 3,684 : x
  2. Step 2: Convert to fraction form
    13,544.77/20,317.05 = 3,684/x
  3. Step 3: Cross multiply
    13,544.77x = 20,317.05 × 3,684
  4. Step 4: Simplify right side
    13,544.77x = 74,848,012.20
  5. Step 5: Solve for x
    x = 74,848,012.20/13,544.77
  6. Step 6: Final answer
    x = 5,525.97

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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.