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Finding the Fourth Proportional to 12,214.66, 18,320.97 and 3,894.34

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Solution

The fourth proportional to 12,214.66, 18,320.97 and 3,894.34 is: 5,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.66 : 18,320.97 = 3,894.34 : x
  2. Step 2: Convert to fraction form
    12,214.66/18,320.97 = 3,894.34/x
  3. Step 3: Cross multiply
    12,214.66x = 18,320.97 × 3,894.34
  4. Step 4: Simplify right side
    12,214.66x = 71,348,086.31
  5. Step 5: Solve for x
    x = 71,348,086.31/12,214.66
  6. Step 6: Final answer
    x = 5,841.18

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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.