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Finding the Fourth Proportional to 19,896.38, 29,770.94 and 12,003.47

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Solution

The fourth proportional to 19,896.38, 29,770.94 and 12,003.47 is: 17,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896.38 : 29,770.94 = 12,003.47 : x
  2. Step 2: Convert to fraction form
    19,896.38/29,770.94 = 12,003.47/x
  3. Step 3: Cross multiply
    19,896.38x = 29,770.94 × 12,003.47
  4. Step 4: Simplify right side
    19,896.38x = 357,354,466.32
  5. Step 5: Solve for x
    x = 357,354,466.32/19,896.38
  6. Step 6: Final answer
    x = 17,960.78

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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.