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Finding the Fourth Proportional to 19,857.93, 29,781.99 and 5,814.33

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Solution

The fourth proportional to 19,857.93, 29,781.99 and 5,814.33 is: 8,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.93 : 29,781.99 = 5,814.33 : x
  2. Step 2: Convert to fraction form
    19,857.93/29,781.99 = 5,814.33/x
  3. Step 3: Cross multiply
    19,857.93x = 29,781.99 × 5,814.33
  4. Step 4: Simplify right side
    19,857.93x = 173,162,317.92
  5. Step 5: Solve for x
    x = 173,162,317.92/19,857.93
  6. Step 6: Final answer
    x = 8,720.06

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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.