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Finding the Fourth Proportional to 20,705.70, 31,022.10 and 16,987.80

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Solution

The fourth proportional to 20,705.70, 31,022.10 and 16,987.80 is: 25,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.70 : 31,022.10 = 16,987.80 : x
  2. Step 2: Convert to fraction form
    20,705.70/31,022.10 = 16,987.80/x
  3. Step 3: Cross multiply
    20,705.70x = 31,022.10 × 16,987.80
  4. Step 4: Simplify right side
    20,705.70x = 526,997,230.38
  5. Step 5: Solve for x
    x = 526,997,230.38/20,705.70
  6. Step 6: Final answer
    x = 25,451.79

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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.