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Finding the Fourth Proportional to 12,075.99, 18,133.83 and 8,152.44

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Solution

The fourth proportional to 12,075.99, 18,133.83 and 8,152.44 is: 12,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.99 : 18,133.83 = 8,152.44 : x
  2. Step 2: Convert to fraction form
    12,075.99/18,133.83 = 8,152.44/x
  3. Step 3: Cross multiply
    12,075.99x = 18,133.83 × 8,152.44
  4. Step 4: Simplify right side
    12,075.99x = 147,834,961.05
  5. Step 5: Solve for x
    x = 147,834,961.05/12,075.99
  6. Step 6: Final answer
    x = 12,242.06

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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.