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Finding the Fourth Proportional to 14,073.75, 19,422.39 and 7,786.14

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Solution

The fourth proportional to 14,073.75, 19,422.39 and 7,786.14 is: 10,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.75 : 19,422.39 = 7,786.14 : x
  2. Step 2: Convert to fraction form
    14,073.75/19,422.39 = 7,786.14/x
  3. Step 3: Cross multiply
    14,073.75x = 19,422.39 × 7,786.14
  4. Step 4: Simplify right side
    14,073.75x = 151,225,447.67
  5. Step 5: Solve for x
    x = 151,225,447.67/14,073.75
  6. Step 6: Final answer
    x = 10,745.21

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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.