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Finding the Fourth Proportional to 14,067.80, 19,411.44 and 7,780.22

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Solution

The fourth proportional to 14,067.80, 19,411.44 and 7,780.22 is: 10,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.80 : 19,411.44 = 7,780.22 : x
  2. Step 2: Convert to fraction form
    14,067.80/19,411.44 = 7,780.22/x
  3. Step 3: Cross multiply
    14,067.80x = 19,411.44 × 7,780.22
  4. Step 4: Simplify right side
    14,067.80x = 151,025,273.72
  5. Step 5: Solve for x
    x = 151,025,273.72/14,067.80
  6. Step 6: Final answer
    x = 10,735.53

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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.