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Finding the Fourth Proportional to 13,791.73, 19,036.50 and 8,129.77

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Solution

The fourth proportional to 13,791.73, 19,036.50 and 8,129.77 is: 11,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.73 : 19,036.50 = 8,129.77 : x
  2. Step 2: Convert to fraction form
    13,791.73/19,036.50 = 8,129.77/x
  3. Step 3: Cross multiply
    13,791.73x = 19,036.50 × 8,129.77
  4. Step 4: Simplify right side
    13,791.73x = 154,762,366.61
  5. Step 5: Solve for x
    x = 154,762,366.61/13,791.73
  6. Step 6: Final answer
    x = 11,221.39

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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.