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Finding the Fourth Proportional to 19,857, 27,415.52 and 12,311.37

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Solution

The fourth proportional to 19,857, 27,415.52 and 12,311.37 is: 16,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857 : 27,415.52 = 12,311.37 : x
  2. Step 2: Convert to fraction form
    19,857/27,415.52 = 12,311.37/x
  3. Step 3: Cross multiply
    19,857x = 27,415.52 × 12,311.37
  4. Step 4: Simplify right side
    19,857x = 337,522,548.91
  5. Step 5: Solve for x
    x = 337,522,548.91/19,857
  6. Step 6: Final answer
    x = 16,997.66

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1.5x scale

Why These Related Problems?

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