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Finding the Fourth Proportional to 12,143.16, 18,214.71 and 3,823.90

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Solution

The fourth proportional to 12,143.16, 18,214.71 and 3,823.90 is: 5,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.16 : 18,214.71 = 3,823.90 : x
  2. Step 2: Convert to fraction form
    12,143.16/18,214.71 = 3,823.90/x
  3. Step 3: Cross multiply
    12,143.16x = 18,214.71 × 3,823.90
  4. Step 4: Simplify right side
    12,143.16x = 69,651,304.41
  5. Step 5: Solve for x
    x = 69,651,304.41/12,143.16
  6. Step 6: Final answer
    x = 5,735.85

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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.