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Finding the Fourth Proportional to 14,074.52, 19,422.69 and 7,786.94

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Solution

The fourth proportional to 14,074.52, 19,422.69 and 7,786.94 is: 10,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.52 : 19,422.69 = 7,786.94 : x
  2. Step 2: Convert to fraction form
    14,074.52/19,422.69 = 7,786.94/x
  3. Step 3: Cross multiply
    14,074.52x = 19,422.69 × 7,786.94
  4. Step 4: Simplify right side
    14,074.52x = 151,243,370.23
  5. Step 5: Solve for x
    x = 151,243,370.23/14,074.52
  6. Step 6: Final answer
    x = 10,745.90

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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.