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Finding the Fourth Proportional to 13,204.62, 18,221.64 and 7,235.10

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Solution

The fourth proportional to 13,204.62, 18,221.64 and 7,235.10 is: 9,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.62 : 18,221.64 = 7,235.10 : x
  2. Step 2: Convert to fraction form
    13,204.62/18,221.64 = 7,235.10/x
  3. Step 3: Cross multiply
    13,204.62x = 18,221.64 × 7,235.10
  4. Step 4: Simplify right side
    13,204.62x = 131,835,387.56
  5. Step 5: Solve for x
    x = 131,835,387.56/13,204.62
  6. Step 6: Final answer
    x = 9,984.03

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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.