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Finding the Fourth Proportional to 20,452.50, 28,231.74 and 12,069

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Solution

The fourth proportional to 20,452.50, 28,231.74 and 12,069 is: 16,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.50 : 28,231.74 = 12,069 : x
  2. Step 2: Convert to fraction form
    20,452.50/28,231.74 = 12,069/x
  3. Step 3: Cross multiply
    20,452.50x = 28,231.74 × 12,069
  4. Step 4: Simplify right side
    20,452.50x = 340,728,870.06
  5. Step 5: Solve for x
    x = 340,728,870.06/20,452.50
  6. Step 6: Final answer
    x = 16,659.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.