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Finding the Fourth Proportional to 19,859.87, 29,793.65 and 6,714.38

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Solution

The fourth proportional to 19,859.87, 29,793.65 and 6,714.38 is: 10,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.87 : 29,793.65 = 6,714.38 : x
  2. Step 2: Convert to fraction form
    19,859.87/29,793.65 = 6,714.38/x
  3. Step 3: Cross multiply
    19,859.87x = 29,793.65 × 6,714.38
  4. Step 4: Simplify right side
    19,859.87x = 200,045,705.15
  5. Step 5: Solve for x
    x = 200,045,705.15/19,859.87
  6. Step 6: Final answer
    x = 10,072.86

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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.