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Finding the Fourth Proportional to 19,659.57, 29,489.82 and 6,512.97

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Solution

The fourth proportional to 19,659.57, 29,489.82 and 6,512.97 is: 9,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.57 : 29,489.82 = 6,512.97 : x
  2. Step 2: Convert to fraction form
    19,659.57/29,489.82 = 6,512.97/x
  3. Step 3: Cross multiply
    19,659.57x = 29,489.82 × 6,512.97
  4. Step 4: Simplify right side
    19,659.57x = 192,066,312.97
  5. Step 5: Solve for x
    x = 192,066,312.97/19,659.57
  6. Step 6: Final answer
    x = 9,769.61

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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.