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Finding the Fourth Proportional to 11,549.25, 17,299.26 and 8,777.25

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Solution

The fourth proportional to 11,549.25, 17,299.26 and 8,777.25 is: 13,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.25 : 17,299.26 = 8,777.25 : x
  2. Step 2: Convert to fraction form
    11,549.25/17,299.26 = 8,777.25/x
  3. Step 3: Cross multiply
    11,549.25x = 17,299.26 × 8,777.25
  4. Step 4: Simplify right side
    11,549.25x = 151,839,929.84
  5. Step 5: Solve for x
    x = 151,839,929.84/11,549.25
  6. Step 6: Final answer
    x = 13,147.17

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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.