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Finding the Fourth Proportional to 19,817.69, 27,348.72 and 11,860.25

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Solution

The fourth proportional to 19,817.69, 27,348.72 and 11,860.25 is: 16,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.69 : 27,348.72 = 11,860.25 : x
  2. Step 2: Convert to fraction form
    19,817.69/27,348.72 = 11,860.25/x
  3. Step 3: Cross multiply
    19,817.69x = 27,348.72 × 11,860.25
  4. Step 4: Simplify right side
    19,817.69x = 324,362,656.38
  5. Step 5: Solve for x
    x = 324,362,656.38/19,817.69
  6. Step 6: Final answer
    x = 16,367.33

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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.