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Finding the Fourth Proportional to 12,201.29, 18,304.50 and 6,938.82

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Solution

The fourth proportional to 12,201.29, 18,304.50 and 6,938.82 is: 10,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.29 : 18,304.50 = 6,938.82 : x
  2. Step 2: Convert to fraction form
    12,201.29/18,304.50 = 6,938.82/x
  3. Step 3: Cross multiply
    12,201.29x = 18,304.50 × 6,938.82
  4. Step 4: Simplify right side
    12,201.29x = 127,011,630.69
  5. Step 5: Solve for x
    x = 127,011,630.69/12,201.29
  6. Step 6: Final answer
    x = 10,409.69

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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.