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Finding the Fourth Proportional to 14,094, 19,449.72 and 8,505

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Solution

The fourth proportional to 14,094, 19,449.72 and 8,505 is: 11,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094 : 19,449.72 = 8,505 : x
  2. Step 2: Convert to fraction form
    14,094/19,449.72 = 8,505/x
  3. Step 3: Cross multiply
    14,094x = 19,449.72 × 8,505
  4. Step 4: Simplify right side
    14,094x = 165,419,868.60
  5. Step 5: Solve for x
    x = 165,419,868.60/14,094
  6. Step 6: Final answer
    x = 11,736.90

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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.