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Finding the Fourth Proportional to 12,075.20, 18,105.60 and 6,243.20

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Solution

The fourth proportional to 12,075.20, 18,105.60 and 6,243.20 is: 9,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.20 : 18,105.60 = 6,243.20 : x
  2. Step 2: Convert to fraction form
    12,075.20/18,105.60 = 6,243.20/x
  3. Step 3: Cross multiply
    12,075.20x = 18,105.60 × 6,243.20
  4. Step 4: Simplify right side
    12,075.20x = 113,036,881.92
  5. Step 5: Solve for x
    x = 113,036,881.92/12,075.20
  6. Step 6: Final answer
    x = 9,361.08

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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.