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Finding the Fourth Proportional to 25,245, 37,872.97 and 9,662.63

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Solution

The fourth proportional to 25,245, 37,872.97 and 9,662.63 is: 14,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245 : 37,872.97 = 9,662.63 : x
  2. Step 2: Convert to fraction form
    25,245/37,872.97 = 9,662.63/x
  3. Step 3: Cross multiply
    25,245x = 37,872.97 × 9,662.63
  4. Step 4: Simplify right side
    25,245x = 365,952,282.59
  5. Step 5: Solve for x
    x = 365,952,282.59/25,245
  6. Step 6: Final answer
    x = 14,496.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.