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Finding the Fourth Proportional to 19,857.56, 27,404.82 and 13,131.50

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Solution

The fourth proportional to 19,857.56, 27,404.82 and 13,131.50 is: 18,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.56 : 27,404.82 = 13,131.50 : x
  2. Step 2: Convert to fraction form
    19,857.56/27,404.82 = 13,131.50/x
  3. Step 3: Cross multiply
    19,857.56x = 27,404.82 × 13,131.50
  4. Step 4: Simplify right side
    19,857.56x = 359,866,393.83
  5. Step 5: Solve for x
    x = 359,866,393.83/19,857.56
  6. Step 6: Final answer
    x = 18,122.39

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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.