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Finding the Fourth Proportional to 12,214.92, 18,322.40 and 3,894.98

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Solution

The fourth proportional to 12,214.92, 18,322.40 and 3,894.98 is: 5,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.92 : 18,322.40 = 3,894.98 : x
  2. Step 2: Convert to fraction form
    12,214.92/18,322.40 = 3,894.98/x
  3. Step 3: Cross multiply
    12,214.92x = 18,322.40 × 3,894.98
  4. Step 4: Simplify right side
    12,214.92x = 71,365,270.47
  5. Step 5: Solve for x
    x = 71,365,270.47/12,214.92
  6. Step 6: Final answer
    x = 5,842.47

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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.