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Finding the Fourth Proportional to 19,994.50, 27,594.84 and 11,611

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Solution

The fourth proportional to 19,994.50, 27,594.84 and 11,611 is: 16,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,994.50 : 27,594.84 = 11,611 : x
  2. Step 2: Convert to fraction form
    19,994.50/27,594.84 = 11,611/x
  3. Step 3: Cross multiply
    19,994.50x = 27,594.84 × 11,611
  4. Step 4: Simplify right side
    19,994.50x = 320,403,687.24
  5. Step 5: Solve for x
    x = 320,403,687.24/19,994.50
  6. Step 6: Final answer
    x = 16,024.59

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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.