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Finding the Fourth Proportional to 20,836.50, 28,755 and 11,405.70

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Solution

The fourth proportional to 20,836.50, 28,755 and 11,405.70 is: 15,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836.50 : 28,755 = 11,405.70 : x
  2. Step 2: Convert to fraction form
    20,836.50/28,755 = 11,405.70/x
  3. Step 3: Cross multiply
    20,836.50x = 28,755 × 11,405.70
  4. Step 4: Simplify right side
    20,836.50x = 327,970,903.50
  5. Step 5: Solve for x
    x = 327,970,903.50/20,836.50
  6. Step 6: Final answer
    x = 15,740.21

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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.