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Finding the Fourth Proportional to 12,594.69, 17,382.25 and 8,131.39

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Solution

The fourth proportional to 12,594.69, 17,382.25 and 8,131.39 is: 11,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.69 : 17,382.25 = 8,131.39 : x
  2. Step 2: Convert to fraction form
    12,594.69/17,382.25 = 8,131.39/x
  3. Step 3: Cross multiply
    12,594.69x = 17,382.25 × 8,131.39
  4. Step 4: Simplify right side
    12,594.69x = 141,341,774.80
  5. Step 5: Solve for x
    x = 141,341,774.80/12,594.69
  6. Step 6: Final answer
    x = 11,222.33

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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.