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Finding the Fourth Proportional to 12,150.26, 16,774.64 and 7,965.80

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Solution

The fourth proportional to 12,150.26, 16,774.64 and 7,965.80 is: 10,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.26 : 16,774.64 = 7,965.80 : x
  2. Step 2: Convert to fraction form
    12,150.26/16,774.64 = 7,965.80/x
  3. Step 3: Cross multiply
    12,150.26x = 16,774.64 × 7,965.80
  4. Step 4: Simplify right side
    12,150.26x = 133,623,427.31
  5. Step 5: Solve for x
    x = 133,623,427.31/12,150.26
  6. Step 6: Final answer
    x = 10,997.58

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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.