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Finding the Fourth Proportional to 19,713, 27,201.36 and 11,756.16

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Solution

The fourth proportional to 19,713, 27,201.36 and 11,756.16 is: 16,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713 : 27,201.36 = 11,756.16 : x
  2. Step 2: Convert to fraction form
    19,713/27,201.36 = 11,756.16/x
  3. Step 3: Cross multiply
    19,713x = 27,201.36 × 11,756.16
  4. Step 4: Simplify right side
    19,713x = 319,783,540.38
  5. Step 5: Solve for x
    x = 319,783,540.38/19,713
  6. Step 6: Final answer
    x = 16,221.96

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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.