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Finding the Fourth Proportional to 12,219.96, 18,317.42 and 4,821.42

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Solution

The fourth proportional to 12,219.96, 18,317.42 and 4,821.42 is: 7,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.96 : 18,317.42 = 4,821.42 : x
  2. Step 2: Convert to fraction form
    12,219.96/18,317.42 = 4,821.42/x
  3. Step 3: Cross multiply
    12,219.96x = 18,317.42 × 4,821.42
  4. Step 4: Simplify right side
    12,219.96x = 88,315,975.14
  5. Step 5: Solve for x
    x = 88,315,975.14/12,219.96
  6. Step 6: Final answer
    x = 7,227.19

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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.