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Finding the Fourth Proportional to 19,648.97, 29,478.31 and 6,502.67

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Solution

The fourth proportional to 19,648.97, 29,478.31 and 6,502.67 is: 9,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.97 : 29,478.31 = 6,502.67 : x
  2. Step 2: Convert to fraction form
    19,648.97/29,478.31 = 6,502.67/x
  3. Step 3: Cross multiply
    19,648.97x = 29,478.31 × 6,502.67
  4. Step 4: Simplify right side
    19,648.97x = 191,687,722.09
  5. Step 5: Solve for x
    x = 191,687,722.09/19,648.97
  6. Step 6: Final answer
    x = 9,755.61

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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.