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Finding the Fourth Proportional to 13,887.72, 19,168.61 and 8,579.48

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Solution

The fourth proportional to 13,887.72, 19,168.61 and 8,579.48 is: 11,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.72 : 19,168.61 = 8,579.48 : x
  2. Step 2: Convert to fraction form
    13,887.72/19,168.61 = 8,579.48/x
  3. Step 3: Cross multiply
    13,887.72x = 19,168.61 × 8,579.48
  4. Step 4: Simplify right side
    13,887.72x = 164,456,567.38
  5. Step 5: Solve for x
    x = 164,456,567.38/13,887.72
  6. Step 6: Final answer
    x = 11,841.87

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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.