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Finding the Fourth Proportional to 13,665.33, 18,857.21 and 8,075.25

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Solution

The fourth proportional to 13,665.33, 18,857.21 and 8,075.25 is: 11,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.33 : 18,857.21 = 8,075.25 : x
  2. Step 2: Convert to fraction form
    13,665.33/18,857.21 = 8,075.25/x
  3. Step 3: Cross multiply
    13,665.33x = 18,857.21 × 8,075.25
  4. Step 4: Simplify right side
    13,665.33x = 152,276,644.68
  5. Step 5: Solve for x
    x = 152,276,644.68/13,665.33
  6. Step 6: Final answer
    x = 11,143.28

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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.