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Finding the Fourth Proportional to 19,640.72, 29,462.40 and 6,493.21

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Solution

The fourth proportional to 19,640.72, 29,462.40 and 6,493.21 is: 9,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.72 : 29,462.40 = 6,493.21 : x
  2. Step 2: Convert to fraction form
    19,640.72/29,462.40 = 6,493.21/x
  3. Step 3: Cross multiply
    19,640.72x = 29,462.40 × 6,493.21
  4. Step 4: Simplify right side
    19,640.72x = 191,305,476.65
  5. Step 5: Solve for x
    x = 191,305,476.65/19,640.72
  6. Step 6: Final answer
    x = 9,740.25

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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.