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Finding the Fourth Proportional to 18,653.88, 25,742.36 and 10,270.38

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Solution

The fourth proportional to 18,653.88, 25,742.36 and 10,270.38 is: 14,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653.88 : 25,742.36 = 10,270.38 : x
  2. Step 2: Convert to fraction form
    18,653.88/25,742.36 = 10,270.38/x
  3. Step 3: Cross multiply
    18,653.88x = 25,742.36 × 10,270.38
  4. Step 4: Simplify right side
    18,653.88x = 264,383,819.30
  5. Step 5: Solve for x
    x = 264,383,819.30/18,653.88
  6. Step 6: Final answer
    x = 14,173.13

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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.