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Finding the Fourth Proportional to 12,107.76, 18,163.80 and 4,716.24

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Solution

The fourth proportional to 12,107.76, 18,163.80 and 4,716.24 is: 7,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.76 : 18,163.80 = 4,716.24 : x
  2. Step 2: Convert to fraction form
    12,107.76/18,163.80 = 4,716.24/x
  3. Step 3: Cross multiply
    12,107.76x = 18,163.80 × 4,716.24
  4. Step 4: Simplify right side
    12,107.76x = 85,664,840.11
  5. Step 5: Solve for x
    x = 85,664,840.11/12,107.76
  6. Step 6: Final answer
    x = 7,075.20

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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.