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Finding the Fourth Proportional to 19,857.90, 29,790.09 and 6,711.06

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Solution

The fourth proportional to 19,857.90, 29,790.09 and 6,711.06 is: 10,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.90 : 29,790.09 = 6,711.06 : x
  2. Step 2: Convert to fraction form
    19,857.90/29,790.09 = 6,711.06/x
  3. Step 3: Cross multiply
    19,857.90x = 29,790.09 × 6,711.06
  4. Step 4: Simplify right side
    19,857.90x = 199,923,081.40
  5. Step 5: Solve for x
    x = 199,923,081.40/19,857.90
  6. Step 6: Final answer
    x = 10,067.68

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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.