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Finding the Fourth Proportional to 12,424.42, 18,623.12 and 6,189.04

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Solution

The fourth proportional to 12,424.42, 18,623.12 and 6,189.04 is: 9,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.42 : 18,623.12 = 6,189.04 : x
  2. Step 2: Convert to fraction form
    12,424.42/18,623.12 = 6,189.04/x
  3. Step 3: Cross multiply
    12,424.42x = 18,623.12 × 6,189.04
  4. Step 4: Simplify right side
    12,424.42x = 115,259,226.94
  5. Step 5: Solve for x
    x = 115,259,226.94/12,424.42
  6. Step 6: Final answer
    x = 9,276.83

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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.