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Finding the Fourth Proportional to 13,197.78, 18,212.64 and 7,454.70

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Solution

The fourth proportional to 13,197.78, 18,212.64 and 7,454.70 is: 10,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.78 : 18,212.64 = 7,454.70 : x
  2. Step 2: Convert to fraction form
    13,197.78/18,212.64 = 7,454.70/x
  3. Step 3: Cross multiply
    13,197.78x = 18,212.64 × 7,454.70
  4. Step 4: Simplify right side
    13,197.78x = 135,769,767.41
  5. Step 5: Solve for x
    x = 135,769,767.41/13,197.78
  6. Step 6: Final answer
    x = 10,287.32

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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.