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Finding the Fourth Proportional to 13,739.75, 18,960.86 and 7,771.29

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Solution

The fourth proportional to 13,739.75, 18,960.86 and 7,771.29 is: 10,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.75 : 18,960.86 = 7,771.29 : x
  2. Step 2: Convert to fraction form
    13,739.75/18,960.86 = 7,771.29/x
  3. Step 3: Cross multiply
    13,739.75x = 18,960.86 × 7,771.29
  4. Step 4: Simplify right side
    13,739.75x = 147,350,312.57
  5. Step 5: Solve for x
    x = 147,350,312.57/13,739.75
  6. Step 6: Final answer
    x = 10,724.38

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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.