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Finding the Fourth Proportional to 11,914.75, 17,859.65 and 4,014.54

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Solution

The fourth proportional to 11,914.75, 17,859.65 and 4,014.54 is: 6,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.75 : 17,859.65 = 4,014.54 : x
  2. Step 2: Convert to fraction form
    11,914.75/17,859.65 = 4,014.54/x
  3. Step 3: Cross multiply
    11,914.75x = 17,859.65 × 4,014.54
  4. Step 4: Simplify right side
    11,914.75x = 71,698,200.05
  5. Step 5: Solve for x
    x = 71,698,200.05/11,914.75
  6. Step 6: Final answer
    x = 6,017.60

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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.