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Finding the Fourth Proportional to 19,833.91, 29,754.30 and 6,686.38

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Solution

The fourth proportional to 19,833.91, 29,754.30 and 6,686.38 is: 10,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.91 : 29,754.30 = 6,686.38 : x
  2. Step 2: Convert to fraction form
    19,833.91/29,754.30 = 6,686.38/x
  3. Step 3: Cross multiply
    19,833.91x = 29,754.30 × 6,686.38
  4. Step 4: Simplify right side
    19,833.91x = 198,948,556.43
  5. Step 5: Solve for x
    x = 198,948,556.43/19,833.91
  6. Step 6: Final answer
    x = 10,030.73

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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.