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Finding the Fourth Proportional to 12,796.14, 19,166.49 and 6,208.50

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Solution

The fourth proportional to 12,796.14, 19,166.49 and 6,208.50 is: 9,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.14 : 19,166.49 = 6,208.50 : x
  2. Step 2: Convert to fraction form
    12,796.14/19,166.49 = 6,208.50/x
  3. Step 3: Cross multiply
    12,796.14x = 19,166.49 × 6,208.50
  4. Step 4: Simplify right side
    12,796.14x = 118,995,153.17
  5. Step 5: Solve for x
    x = 118,995,153.17/12,796.14
  6. Step 6: Final answer
    x = 9,299.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.