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Finding the Fourth Proportional to 13,608.98, 18,780.38 and 7,640.66

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Solution

The fourth proportional to 13,608.98, 18,780.38 and 7,640.66 is: 10,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.98 : 18,780.38 = 7,640.66 : x
  2. Step 2: Convert to fraction form
    13,608.98/18,780.38 = 7,640.66/x
  3. Step 3: Cross multiply
    13,608.98x = 18,780.38 × 7,640.66
  4. Step 4: Simplify right side
    13,608.98x = 143,494,498.25
  5. Step 5: Solve for x
    x = 143,494,498.25/13,608.98
  6. Step 6: Final answer
    x = 10,544.10

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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.