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Finding the Fourth Proportional to 14,083.50, 19,435.26 and 7,796.82

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Solution

The fourth proportional to 14,083.50, 19,435.26 and 7,796.82 is: 10,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.50 : 19,435.26 = 7,796.82 : x
  2. Step 2: Convert to fraction form
    14,083.50/19,435.26 = 7,796.82/x
  3. Step 3: Cross multiply
    14,083.50x = 19,435.26 × 7,796.82
  4. Step 4: Simplify right side
    14,083.50x = 151,533,223.87
  5. Step 5: Solve for x
    x = 151,533,223.87/14,083.50
  6. Step 6: Final answer
    x = 10,759.63

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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.