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Finding the Fourth Proportional to 12,165.36, 18,244.80 and 5,238.24

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Solution

The fourth proportional to 12,165.36, 18,244.80 and 5,238.24 is: 7,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.36 : 18,244.80 = 5,238.24 : x
  2. Step 2: Convert to fraction form
    12,165.36/18,244.80 = 5,238.24/x
  3. Step 3: Cross multiply
    12,165.36x = 18,244.80 × 5,238.24
  4. Step 4: Simplify right side
    12,165.36x = 95,570,641.15
  5. Step 5: Solve for x
    x = 95,570,641.15/12,165.36
  6. Step 6: Final answer
    x = 7,855.96

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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.