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Finding the Fourth Proportional to 13,553.64, 20,332.42 and 4,194.44

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Solution

The fourth proportional to 13,553.64, 20,332.42 and 4,194.44 is: 6,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,553.64 : 20,332.42 = 4,194.44 : x
  2. Step 2: Convert to fraction form
    13,553.64/20,332.42 = 4,194.44/x
  3. Step 3: Cross multiply
    13,553.64x = 20,332.42 × 4,194.44
  4. Step 4: Simplify right side
    13,553.64x = 85,283,115.74
  5. Step 5: Solve for x
    x = 85,283,115.74/13,553.64
  6. Step 6: Final answer
    x = 6,292.27

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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.