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Finding the Fourth Proportional to 14,074.44, 19,422.45 and 7,786.82

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Solution

The fourth proportional to 14,074.44, 19,422.45 and 7,786.82 is: 10,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.44 : 19,422.45 = 7,786.82 : x
  2. Step 2: Convert to fraction form
    14,074.44/19,422.45 = 7,786.82/x
  3. Step 3: Cross multiply
    14,074.44x = 19,422.45 × 7,786.82
  4. Step 4: Simplify right side
    14,074.44x = 151,239,025.00
  5. Step 5: Solve for x
    x = 151,239,025.00/14,074.44
  6. Step 6: Final answer
    x = 10,745.65

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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.