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Finding the Fourth Proportional to 18,588, 25,651.68 and 10,204.32

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Solution

The fourth proportional to 18,588, 25,651.68 and 10,204.32 is: 14,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,588 : 25,651.68 = 10,204.32 : x
  2. Step 2: Convert to fraction form
    18,588/25,651.68 = 10,204.32/x
  3. Step 3: Cross multiply
    18,588x = 25,651.68 × 10,204.32
  4. Step 4: Simplify right side
    18,588x = 261,757,951.26
  5. Step 5: Solve for x
    x = 261,757,951.26/18,588
  6. Step 6: Final answer
    x = 14,082.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.