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Finding the Fourth Proportional to 12,424.12, 18,623.62 and 6,174.52

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Solution

The fourth proportional to 12,424.12, 18,623.62 and 6,174.52 is: 9,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.12 : 18,623.62 = 6,174.52 : x
  2. Step 2: Convert to fraction form
    12,424.12/18,623.62 = 6,174.52/x
  3. Step 3: Cross multiply
    12,424.12x = 18,623.62 × 6,174.52
  4. Step 4: Simplify right side
    12,424.12x = 114,991,914.16
  5. Step 5: Solve for x
    x = 114,991,914.16/12,424.12
  6. Step 6: Final answer
    x = 9,255.54

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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.