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Finding the Fourth Proportional to 30,208.21, 41,685.05 and 16,778.32

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Solution

The fourth proportional to 30,208.21, 41,685.05 and 16,778.32 is: 23,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.21 : 41,685.05 = 16,778.32 : x
  2. Step 2: Convert to fraction form
    30,208.21/41,685.05 = 16,778.32/x
  3. Step 3: Cross multiply
    30,208.21x = 41,685.05 × 16,778.32
  4. Step 4: Simplify right side
    30,208.21x = 699,405,024.22
  5. Step 5: Solve for x
    x = 699,405,024.22/30,208.21
  6. Step 6: Final answer
    x = 23,152.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.