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Finding the Fourth Proportional to 12,167.36, 18,238.08 and 5,242.40

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Solution

The fourth proportional to 12,167.36, 18,238.08 and 5,242.40 is: 7,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.36 : 18,238.08 = 5,242.40 : x
  2. Step 2: Convert to fraction form
    12,167.36/18,238.08 = 5,242.40/x
  3. Step 3: Cross multiply
    12,167.36x = 18,238.08 × 5,242.40
  4. Step 4: Simplify right side
    12,167.36x = 95,611,310.59
  5. Step 5: Solve for x
    x = 95,611,310.59/12,167.36
  6. Step 6: Final answer
    x = 7,858.02

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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.