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Finding the Fourth Proportional to 15,741.98, 21,724.09 and 8,669.06

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Solution

The fourth proportional to 15,741.98, 21,724.09 and 8,669.06 is: 11,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.98 : 21,724.09 = 8,669.06 : x
  2. Step 2: Convert to fraction form
    15,741.98/21,724.09 = 8,669.06/x
  3. Step 3: Cross multiply
    15,741.98x = 21,724.09 × 8,669.06
  4. Step 4: Simplify right side
    15,741.98x = 188,327,309.36
  5. Step 5: Solve for x
    x = 188,327,309.36/15,741.98
  6. Step 6: Final answer
    x = 11,963.39

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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.