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Finding the Fourth Proportional to 18,588.34, 25,651.59 and 10,204.78

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Solution

The fourth proportional to 18,588.34, 25,651.59 and 10,204.78 is: 14,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588.34 : 25,651.59 = 10,204.78 : x
  2. Step 2: Convert to fraction form
    18,588.34/25,651.59 = 10,204.78/x
  3. Step 3: Cross multiply
    18,588.34x = 25,651.59 × 10,204.78
  4. Step 4: Simplify right side
    18,588.34x = 261,768,832.60
  5. Step 5: Solve for x
    x = 261,768,832.60/18,588.34
  6. Step 6: Final answer
    x = 14,082.42

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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.