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Finding the Fourth Proportional to 15,936.49, 23,907.77 and 7,617.16

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Solution

The fourth proportional to 15,936.49, 23,907.77 and 7,617.16 is: 11,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936.49 : 23,907.77 = 7,617.16 : x
  2. Step 2: Convert to fraction form
    15,936.49/23,907.77 = 7,617.16/x
  3. Step 3: Cross multiply
    15,936.49x = 23,907.77 × 7,617.16
  4. Step 4: Simplify right side
    15,936.49x = 182,109,309.33
  5. Step 5: Solve for x
    x = 182,109,309.33/15,936.49
  6. Step 6: Final answer
    x = 11,427.19

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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.