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Finding the Fourth Proportional to 20,187.63, 30,277.80 and 9,092.25

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Solution

The fourth proportional to 20,187.63, 30,277.80 and 9,092.25 is: 13,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.63 : 30,277.80 = 9,092.25 : x
  2. Step 2: Convert to fraction form
    20,187.63/30,277.80 = 9,092.25/x
  3. Step 3: Cross multiply
    20,187.63x = 30,277.80 × 9,092.25
  4. Step 4: Simplify right side
    20,187.63x = 275,293,327.05
  5. Step 5: Solve for x
    x = 275,293,327.05/20,187.63
  6. Step 6: Final answer
    x = 13,636.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.