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Finding the Fourth Proportional to 21,694.50, 32,544.99 and 7,846.74

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Solution

The fourth proportional to 21,694.50, 32,544.99 and 7,846.74 is: 11,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.50 : 32,544.99 = 7,846.74 : x
  2. Step 2: Convert to fraction form
    21,694.50/32,544.99 = 7,846.74/x
  3. Step 3: Cross multiply
    21,694.50x = 32,544.99 × 7,846.74
  4. Step 4: Simplify right side
    21,694.50x = 255,372,074.83
  5. Step 5: Solve for x
    x = 255,372,074.83/21,694.50
  6. Step 6: Final answer
    x = 11,771.28

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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.