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Finding the Fourth Proportional to 12,214.42, 18,320.70 and 3,894.70

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Solution

The fourth proportional to 12,214.42, 18,320.70 and 3,894.70 is: 5,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.42 : 18,320.70 = 3,894.70 : x
  2. Step 2: Convert to fraction form
    12,214.42/18,320.70 = 3,894.70/x
  3. Step 3: Cross multiply
    12,214.42x = 18,320.70 × 3,894.70
  4. Step 4: Simplify right side
    12,214.42x = 71,353,630.29
  5. Step 5: Solve for x
    x = 71,353,630.29/12,214.42
  6. Step 6: Final answer
    x = 5,841.75

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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.