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Finding the Fourth Proportional to 20,588.49, 30,890.12 and 8,101.60

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Solution

The fourth proportional to 20,588.49, 30,890.12 and 8,101.60 is: 12,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.49 : 30,890.12 = 8,101.60 : x
  2. Step 2: Convert to fraction form
    20,588.49/30,890.12 = 8,101.60/x
  3. Step 3: Cross multiply
    20,588.49x = 30,890.12 × 8,101.60
  4. Step 4: Simplify right side
    20,588.49x = 250,259,396.19
  5. Step 5: Solve for x
    x = 250,259,396.19/20,588.49
  6. Step 6: Final answer
    x = 12,155.31

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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.