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Finding the Fourth Proportional to 13,643.70, 20,464.60 and 5,322.16

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Solution

The fourth proportional to 13,643.70, 20,464.60 and 5,322.16 is: 7,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.70 : 20,464.60 = 5,322.16 : x
  2. Step 2: Convert to fraction form
    13,643.70/20,464.60 = 5,322.16/x
  3. Step 3: Cross multiply
    13,643.70x = 20,464.60 × 5,322.16
  4. Step 4: Simplify right side
    13,643.70x = 108,915,875.54
  5. Step 5: Solve for x
    x = 108,915,875.54/13,643.70
  6. Step 6: Final answer
    x = 7,982.87

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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.