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Finding the Fourth Proportional to 19,686, 27,168.36 and 11,304.12

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Solution

The fourth proportional to 19,686, 27,168.36 and 11,304.12 is: 15,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686 : 27,168.36 = 11,304.12 : x
  2. Step 2: Convert to fraction form
    19,686/27,168.36 = 11,304.12/x
  3. Step 3: Cross multiply
    19,686x = 27,168.36 × 11,304.12
  4. Step 4: Simplify right side
    19,686x = 307,114,401.64
  5. Step 5: Solve for x
    x = 307,114,401.64/19,686
  6. Step 6: Final answer
    x = 15,600.65

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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.