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Finding the Fourth Proportional to 20,085.82, 30,135.02 and 12,089.32

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Solution

The fourth proportional to 20,085.82, 30,135.02 and 12,089.32 is: 18,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,085.82 : 30,135.02 = 12,089.32 : x
  2. Step 2: Convert to fraction form
    20,085.82/30,135.02 = 12,089.32/x
  3. Step 3: Cross multiply
    20,085.82x = 30,135.02 × 12,089.32
  4. Step 4: Simplify right side
    20,085.82x = 364,311,764.20
  5. Step 5: Solve for x
    x = 364,311,764.20/20,085.82
  6. Step 6: Final answer
    x = 18,137.76

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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.