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Finding the Fourth Proportional to 18,588.50, 25,652.37 and 10,205.30

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Solution

The fourth proportional to 18,588.50, 25,652.37 and 10,205.30 is: 14,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588.50 : 25,652.37 = 10,205.30 : x
  2. Step 2: Convert to fraction form
    18,588.50/25,652.37 = 10,205.30/x
  3. Step 3: Cross multiply
    18,588.50x = 25,652.37 × 10,205.30
  4. Step 4: Simplify right side
    18,588.50x = 261,790,131.56
  5. Step 5: Solve for x
    x = 261,790,131.56/18,588.50
  6. Step 6: Final answer
    x = 14,083.45

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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.