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Finding the Fourth Proportional to 12,203.24, 18,304.85 and 4,808.48

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Solution

The fourth proportional to 12,203.24, 18,304.85 and 4,808.48 is: 7,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.24 : 18,304.85 = 4,808.48 : x
  2. Step 2: Convert to fraction form
    12,203.24/18,304.85 = 4,808.48/x
  3. Step 3: Cross multiply
    12,203.24x = 18,304.85 × 4,808.48
  4. Step 4: Simplify right side
    12,203.24x = 88,018,425.62
  5. Step 5: Solve for x
    x = 88,018,425.62/12,203.24
  6. Step 6: Final answer
    x = 7,212.71

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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.