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Finding the Fourth Proportional to 19,708.38, 27,191.34 and 11,753.19

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Solution

The fourth proportional to 19,708.38, 27,191.34 and 11,753.19 is: 16,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.38 : 27,191.34 = 11,753.19 : x
  2. Step 2: Convert to fraction form
    19,708.38/27,191.34 = 11,753.19/x
  3. Step 3: Cross multiply
    19,708.38x = 27,191.34 × 11,753.19
  4. Step 4: Simplify right side
    19,708.38x = 319,584,985.37
  5. Step 5: Solve for x
    x = 319,584,985.37/19,708.38
  6. Step 6: Final answer
    x = 16,215.69

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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.