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Finding the Fourth Proportional to 13,198.28, 18,213.54 and 7,894.40

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Solution

The fourth proportional to 13,198.28, 18,213.54 and 7,894.40 is: 10,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.28 : 18,213.54 = 7,894.40 : x
  2. Step 2: Convert to fraction form
    13,198.28/18,213.54 = 7,894.40/x
  3. Step 3: Cross multiply
    13,198.28x = 18,213.54 × 7,894.40
  4. Step 4: Simplify right side
    13,198.28x = 143,784,970.18
  5. Step 5: Solve for x
    x = 143,784,970.18/13,198.28
  6. Step 6: Final answer
    x = 10,894.22

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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.