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Finding the Fourth Proportional to 13,811.82, 19,067.54 and 10,780.44

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Solution

The fourth proportional to 13,811.82, 19,067.54 and 10,780.44 is: 14,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.82 : 19,067.54 = 10,780.44 : x
  2. Step 2: Convert to fraction form
    13,811.82/19,067.54 = 10,780.44/x
  3. Step 3: Cross multiply
    13,811.82x = 19,067.54 × 10,780.44
  4. Step 4: Simplify right side
    13,811.82x = 205,556,417.02
  5. Step 5: Solve for x
    x = 205,556,417.02/13,811.82
  6. Step 6: Final answer
    x = 14,882.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.