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Finding the Fourth Proportional to 19,186, 28,777.68 and 11,791.60

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Solution

The fourth proportional to 19,186, 28,777.68 and 11,791.60 is: 17,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,186 : 28,777.68 = 11,791.60 : x
  2. Step 2: Convert to fraction form
    19,186/28,777.68 = 11,791.60/x
  3. Step 3: Cross multiply
    19,186x = 28,777.68 × 11,791.60
  4. Step 4: Simplify right side
    19,186x = 339,334,891.49
  5. Step 5: Solve for x
    x = 339,334,891.49/19,186
  6. Step 6: Final answer
    x = 17,686.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.