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Finding the Fourth Proportional to 20,847.57, 28,769.37 and 11,416.14

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Solution

The fourth proportional to 20,847.57, 28,769.37 and 11,416.14 is: 15,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.57 : 28,769.37 = 11,416.14 : x
  2. Step 2: Convert to fraction form
    20,847.57/28,769.37 = 11,416.14/x
  3. Step 3: Cross multiply
    20,847.57x = 28,769.37 × 11,416.14
  4. Step 4: Simplify right side
    20,847.57x = 328,435,155.63
  5. Step 5: Solve for x
    x = 328,435,155.63/20,847.57
  6. Step 6: Final answer
    x = 15,754.12

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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.