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Finding the Fourth Proportional to 20,778.75, 28,674.83 and 11,347.32

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Solution

The fourth proportional to 20,778.75, 28,674.83 and 11,347.32 is: 15,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.75 : 28,674.83 = 11,347.32 : x
  2. Step 2: Convert to fraction form
    20,778.75/28,674.83 = 11,347.32/x
  3. Step 3: Cross multiply
    20,778.75x = 28,674.83 × 11,347.32
  4. Step 4: Simplify right side
    20,778.75x = 325,382,415.22
  5. Step 5: Solve for x
    x = 325,382,415.22/20,778.75
  6. Step 6: Final answer
    x = 15,659.38

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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.