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Finding the Fourth Proportional to 13,204.14, 18,221.46 and 7,235.80

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Solution

The fourth proportional to 13,204.14, 18,221.46 and 7,235.80 is: 9,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.14 : 18,221.46 = 7,235.80 : x
  2. Step 2: Convert to fraction form
    13,204.14/18,221.46 = 7,235.80/x
  3. Step 3: Cross multiply
    13,204.14x = 18,221.46 × 7,235.80
  4. Step 4: Simplify right side
    13,204.14x = 131,846,840.27
  5. Step 5: Solve for x
    x = 131,846,840.27/13,204.14
  6. Step 6: Final answer
    x = 9,985.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.