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Finding the Fourth Proportional to 18,513.69, 27,758.22 and 10,197.64

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Solution

The fourth proportional to 18,513.69, 27,758.22 and 10,197.64 is: 15,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.69 : 27,758.22 = 10,197.64 : x
  2. Step 2: Convert to fraction form
    18,513.69/27,758.22 = 10,197.64/x
  3. Step 3: Cross multiply
    18,513.69x = 27,758.22 × 10,197.64
  4. Step 4: Simplify right side
    18,513.69x = 283,068,334.60
  5. Step 5: Solve for x
    x = 283,068,334.60/18,513.69
  6. Step 6: Final answer
    x = 15,289.68

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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.