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Finding the Fourth Proportional to 18,513.88, 27,758.48 and 10,197.84

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Solution

The fourth proportional to 18,513.88, 27,758.48 and 10,197.84 is: 15,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.88 : 27,758.48 = 10,197.84 : x
  2. Step 2: Convert to fraction form
    18,513.88/27,758.48 = 10,197.84/x
  3. Step 3: Cross multiply
    18,513.88x = 27,758.48 × 10,197.84
  4. Step 4: Simplify right side
    18,513.88x = 283,076,537.68
  5. Step 5: Solve for x
    x = 283,076,537.68/18,513.88
  6. Step 6: Final answer
    x = 15,289.96

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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.