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Finding the Fourth Proportional to 12,796.26, 19,206.29 and 6,560.74

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Solution

The fourth proportional to 12,796.26, 19,206.29 and 6,560.74 is: 9,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.26 : 19,206.29 = 6,560.74 : x
  2. Step 2: Convert to fraction form
    12,796.26/19,206.29 = 6,560.74/x
  3. Step 3: Cross multiply
    12,796.26x = 19,206.29 × 6,560.74
  4. Step 4: Simplify right side
    12,796.26x = 126,007,475.05
  5. Step 5: Solve for x
    x = 126,007,475.05/12,796.26
  6. Step 6: Final answer
    x = 9,847.21

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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.