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Finding the Fourth Proportional to 13,921.99, 19,213.13 and 8,260.09

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Solution

The fourth proportional to 13,921.99, 19,213.13 and 8,260.09 is: 11,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.99 : 19,213.13 = 8,260.09 : x
  2. Step 2: Convert to fraction form
    13,921.99/19,213.13 = 8,260.09/x
  3. Step 3: Cross multiply
    13,921.99x = 19,213.13 × 8,260.09
  4. Step 4: Simplify right side
    13,921.99x = 158,702,182.98
  5. Step 5: Solve for x
    x = 158,702,182.98/13,921.99
  6. Step 6: Final answer
    x = 11,399.39

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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.