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Finding the Fourth Proportional to 14,074, 19,422.12 and 7,786.78

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Solution

The fourth proportional to 14,074, 19,422.12 and 7,786.78 is: 10,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074 : 19,422.12 = 7,786.78 : x
  2. Step 2: Convert to fraction form
    14,074/19,422.12 = 7,786.78/x
  3. Step 3: Cross multiply
    14,074x = 19,422.12 × 7,786.78
  4. Step 4: Simplify right side
    14,074x = 151,235,775.57
  5. Step 5: Solve for x
    x = 151,235,775.57/14,074
  6. Step 6: Final answer
    x = 10,745.76

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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.