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Finding the Fourth Proportional to 13,588.64, 20,382.96 and 3,728

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Solution

The fourth proportional to 13,588.64, 20,382.96 and 3,728 is: 5,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.64 : 20,382.96 = 3,728 : x
  2. Step 2: Convert to fraction form
    13,588.64/20,382.96 = 3,728/x
  3. Step 3: Cross multiply
    13,588.64x = 20,382.96 × 3,728
  4. Step 4: Simplify right side
    13,588.64x = 75,987,674.88
  5. Step 5: Solve for x
    x = 75,987,674.88/13,588.64
  6. Step 6: Final answer
    x = 5,592

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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.