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Finding the Fourth Proportional to 13,143.94, 18,138.65 and 8,428.22

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Solution

The fourth proportional to 13,143.94, 18,138.65 and 8,428.22 is: 11,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.94 : 18,138.65 = 8,428.22 : x
  2. Step 2: Convert to fraction form
    13,143.94/18,138.65 = 8,428.22/x
  3. Step 3: Cross multiply
    13,143.94x = 18,138.65 × 8,428.22
  4. Step 4: Simplify right side
    13,143.94x = 152,876,515.30
  5. Step 5: Solve for x
    x = 152,876,515.30/13,143.94
  6. Step 6: Final answer
    x = 11,630.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.