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Finding the Fourth Proportional to 12,698.71, 17,524.20 and 7,109.71

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Solution

The fourth proportional to 12,698.71, 17,524.20 and 7,109.71 is: 9,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.71 : 17,524.20 = 7,109.71 : x
  2. Step 2: Convert to fraction form
    12,698.71/17,524.20 = 7,109.71/x
  3. Step 3: Cross multiply
    12,698.71x = 17,524.20 × 7,109.71
  4. Step 4: Simplify right side
    12,698.71x = 124,591,979.98
  5. Step 5: Solve for x
    x = 124,591,979.98/12,698.71
  6. Step 6: Final answer
    x = 9,811.39

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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.