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Finding the Fourth Proportional to 20,857.70, 28,783.86 and 11,906.40

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Solution

The fourth proportional to 20,857.70, 28,783.86 and 11,906.40 is: 16,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.70 : 28,783.86 = 11,906.40 : x
  2. Step 2: Convert to fraction form
    20,857.70/28,783.86 = 11,906.40/x
  3. Step 3: Cross multiply
    20,857.70x = 28,783.86 × 11,906.40
  4. Step 4: Simplify right side
    20,857.70x = 342,712,150.70
  5. Step 5: Solve for x
    x = 342,712,150.70/20,857.70
  6. Step 6: Final answer
    x = 16,430.97

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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.