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Finding the Fourth Proportional to 20,778.82, 28,674.62 and 11,347.38

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Solution

The fourth proportional to 20,778.82, 28,674.62 and 11,347.38 is: 15,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.82 : 28,674.62 = 11,347.38 : x
  2. Step 2: Convert to fraction form
    20,778.82/28,674.62 = 11,347.38/x
  3. Step 3: Cross multiply
    20,778.82x = 28,674.62 × 11,347.38
  4. Step 4: Simplify right side
    20,778.82x = 325,381,809.50
  5. Step 5: Solve for x
    x = 325,381,809.50/20,778.82
  6. Step 6: Final answer
    x = 15,659.31

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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.