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Finding the Fourth Proportional to 30,783.96, 42,481.86 and 16,636.80

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Solution

The fourth proportional to 30,783.96, 42,481.86 and 16,636.80 is: 22,958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.96 : 42,481.86 = 16,636.80 : x
  2. Step 2: Convert to fraction form
    30,783.96/42,481.86 = 16,636.80/x
  3. Step 3: Cross multiply
    30,783.96x = 42,481.86 × 16,636.80
  4. Step 4: Simplify right side
    30,783.96x = 706,762,208.45
  5. Step 5: Solve for x
    x = 706,762,208.45/30,783.96
  6. Step 6: Final answer
    x = 22,958.78

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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.