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Finding the Fourth Proportional to 12,214, 18,327.12 and 4,823.68

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Solution

The fourth proportional to 12,214, 18,327.12 and 4,823.68 is: 7,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214 : 18,327.12 = 4,823.68 : x
  2. Step 2: Convert to fraction form
    12,214/18,327.12 = 4,823.68/x
  3. Step 3: Cross multiply
    12,214x = 18,327.12 × 4,823.68
  4. Step 4: Simplify right side
    12,214x = 88,404,162.20
  5. Step 5: Solve for x
    x = 88,404,162.20/12,214
  6. Step 6: Final answer
    x = 7,237.94

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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.