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Finding the Fourth Proportional to 19,846.35, 29,773.94 and 6,698.43

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Solution

The fourth proportional to 19,846.35, 29,773.94 and 6,698.43 is: 10,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.35 : 29,773.94 = 6,698.43 : x
  2. Step 2: Convert to fraction form
    19,846.35/29,773.94 = 6,698.43/x
  3. Step 3: Cross multiply
    19,846.35x = 29,773.94 × 6,698.43
  4. Step 4: Simplify right side
    19,846.35x = 199,438,619.42
  5. Step 5: Solve for x
    x = 199,438,619.42/19,846.35
  6. Step 6: Final answer
    x = 10,049.13

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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.