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Finding the Fourth Proportional to 19,414, 26,794.44 and 11,035.60

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Solution

The fourth proportional to 19,414, 26,794.44 and 11,035.60 is: 15,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414 : 26,794.44 = 11,035.60 : x
  2. Step 2: Convert to fraction form
    19,414/26,794.44 = 11,035.60/x
  3. Step 3: Cross multiply
    19,414x = 26,794.44 × 11,035.60
  4. Step 4: Simplify right side
    19,414x = 295,692,722.06
  5. Step 5: Solve for x
    x = 295,692,722.06/19,414
  6. Step 6: Final answer
    x = 15,230.90

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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.