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Finding the Fourth Proportional to 20,091.40, 30,140.88 and 8,084.46

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Solution

The fourth proportional to 20,091.40, 30,140.88 and 8,084.46 is: 12,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.40 : 30,140.88 = 8,084.46 : x
  2. Step 2: Convert to fraction form
    20,091.40/30,140.88 = 8,084.46/x
  3. Step 3: Cross multiply
    20,091.40x = 30,140.88 × 8,084.46
  4. Step 4: Simplify right side
    20,091.40x = 243,672,738.72
  5. Step 5: Solve for x
    x = 243,672,738.72/20,091.40
  6. Step 6: Final answer
    x = 12,128.21

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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.