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Finding the Fourth Proportional to 13,656.98, 18,845.38 and 7,687.69

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Solution

The fourth proportional to 13,656.98, 18,845.38 and 7,687.69 is: 10,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.98 : 18,845.38 = 7,687.69 : x
  2. Step 2: Convert to fraction form
    13,656.98/18,845.38 = 7,687.69/x
  3. Step 3: Cross multiply
    13,656.98x = 18,845.38 × 7,687.69
  4. Step 4: Simplify right side
    13,656.98x = 144,877,439.37
  5. Step 5: Solve for x
    x = 144,877,439.37/13,656.98
  6. Step 6: Final answer
    x = 10,608.31

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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.