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Finding the Fourth Proportional to 18,588.40, 27,857.26 and 10,256

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Solution

The fourth proportional to 18,588.40, 27,857.26 and 10,256 is: 15,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588.40 : 27,857.26 = 10,256 : x
  2. Step 2: Convert to fraction form
    18,588.40/27,857.26 = 10,256/x
  3. Step 3: Cross multiply
    18,588.40x = 27,857.26 × 10,256
  4. Step 4: Simplify right side
    18,588.40x = 285,704,058.56
  5. Step 5: Solve for x
    x = 285,704,058.56/18,588.40
  6. Step 6: Final answer
    x = 15,370.02

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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.