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Finding the Fourth Proportional to 20,069.57, 27,697 and 12,111.66

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Solution

The fourth proportional to 20,069.57, 27,697 and 12,111.66 is: 16,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069.57 : 27,697 = 12,111.66 : x
  2. Step 2: Convert to fraction form
    20,069.57/27,697 = 12,111.66/x
  3. Step 3: Cross multiply
    20,069.57x = 27,697 × 12,111.66
  4. Step 4: Simplify right side
    20,069.57x = 335,456,647.02
  5. Step 5: Solve for x
    x = 335,456,647.02/20,069.57
  6. Step 6: Final answer
    x = 16,714.69

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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.