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Finding the Fourth Proportional to 20,131.70, 30,221.85 and 19,985.90

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Solution

The fourth proportional to 20,131.70, 30,221.85 and 19,985.90 is: 30,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.70 : 30,221.85 = 19,985.90 : x
  2. Step 2: Convert to fraction form
    20,131.70/30,221.85 = 19,985.90/x
  3. Step 3: Cross multiply
    20,131.70x = 30,221.85 × 19,985.90
  4. Step 4: Simplify right side
    20,131.70x = 604,010,871.92
  5. Step 5: Solve for x
    x = 604,010,871.92/20,131.70
  6. Step 6: Final answer
    x = 30,002.97

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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.