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Finding the Fourth Proportional to 19,974.36, 27,555.48 and 11,586

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Solution

The fourth proportional to 19,974.36, 27,555.48 and 11,586 is: 15,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.36 : 27,555.48 = 11,586 : x
  2. Step 2: Convert to fraction form
    19,974.36/27,555.48 = 11,586/x
  3. Step 3: Cross multiply
    19,974.36x = 27,555.48 × 11,586
  4. Step 4: Simplify right side
    19,974.36x = 319,257,791.28
  5. Step 5: Solve for x
    x = 319,257,791.28/19,974.36
  6. Step 6: Final answer
    x = 15,983.38

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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.