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Finding the Fourth Proportional to 20,847.25, 28,769.21 and 11,415.84

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Solution

The fourth proportional to 20,847.25, 28,769.21 and 11,415.84 is: 15,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.25 : 28,769.21 = 11,415.84 : x
  2. Step 2: Convert to fraction form
    20,847.25/28,769.21 = 11,415.84/x
  3. Step 3: Cross multiply
    20,847.25x = 28,769.21 × 11,415.84
  4. Step 4: Simplify right side
    20,847.25x = 328,424,698.29
  5. Step 5: Solve for x
    x = 328,424,698.29/20,847.25
  6. Step 6: Final answer
    x = 15,753.86

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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.