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Finding the Fourth Proportional to 25,375.50, 38,066.88 and 7,846.68

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Solution

The fourth proportional to 25,375.50, 38,066.88 and 7,846.68 is: 11,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,375.50 : 38,066.88 = 7,846.68 : x
  2. Step 2: Convert to fraction form
    25,375.50/38,066.88 = 7,846.68/x
  3. Step 3: Cross multiply
    25,375.50x = 38,066.88 × 7,846.68
  4. Step 4: Simplify right side
    25,375.50x = 298,698,625.96
  5. Step 5: Solve for x
    x = 298,698,625.96/25,375.50
  6. Step 6: Final answer
    x = 11,771.14

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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.