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Finding the Fourth Proportional to 12,174.68, 18,263.30 and 3,855.84

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Solution

The fourth proportional to 12,174.68, 18,263.30 and 3,855.84 is: 5,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.68 : 18,263.30 = 3,855.84 : x
  2. Step 2: Convert to fraction form
    12,174.68/18,263.30 = 3,855.84/x
  3. Step 3: Cross multiply
    12,174.68x = 18,263.30 × 3,855.84
  4. Step 4: Simplify right side
    12,174.68x = 70,420,343.39
  5. Step 5: Solve for x
    x = 70,420,343.39/12,174.68
  6. Step 6: Final answer
    x = 5,784.17

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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.