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Finding the Fourth Proportional to 20,577.64, 30,845.27 and 8,092.60

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Solution

The fourth proportional to 20,577.64, 30,845.27 and 8,092.60 is: 12,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.64 : 30,845.27 = 8,092.60 : x
  2. Step 2: Convert to fraction form
    20,577.64/30,845.27 = 8,092.60/x
  3. Step 3: Cross multiply
    20,577.64x = 30,845.27 × 8,092.60
  4. Step 4: Simplify right side
    20,577.64x = 249,618,548.62
  5. Step 5: Solve for x
    x = 249,618,548.62/20,577.64
  6. Step 6: Final answer
    x = 12,130.57

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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.