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Finding the Fourth Proportional to 19,750, 27,254.64 and 11,794

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Solution

The fourth proportional to 19,750, 27,254.64 and 11,794 is: 16,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,750 : 27,254.64 = 11,794 : x
  2. Step 2: Convert to fraction form
    19,750/27,254.64 = 11,794/x
  3. Step 3: Cross multiply
    19,750x = 27,254.64 × 11,794
  4. Step 4: Simplify right side
    19,750x = 321,441,224.16
  5. Step 5: Solve for x
    x = 321,441,224.16/19,750
  6. Step 6: Final answer
    x = 16,275.51

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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.