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Finding the Fourth Proportional to 19,640.97, 29,466.96 and 6,502.59

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Solution

The fourth proportional to 19,640.97, 29,466.96 and 6,502.59 is: 9,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.97 : 29,466.96 = 6,502.59 : x
  2. Step 2: Convert to fraction form
    19,640.97/29,466.96 = 6,502.59/x
  3. Step 3: Cross multiply
    19,640.97x = 29,466.96 × 6,502.59
  4. Step 4: Simplify right side
    19,640.97x = 191,611,559.43
  5. Step 5: Solve for x
    x = 191,611,559.43/19,640.97
  6. Step 6: Final answer
    x = 9,755.71

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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.