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Finding the Fourth Proportional to 20,905.67, 28,847.94 and 12,406.34

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Solution

The fourth proportional to 20,905.67, 28,847.94 and 12,406.34 is: 17,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905.67 : 28,847.94 = 12,406.34 : x
  2. Step 2: Convert to fraction form
    20,905.67/28,847.94 = 12,406.34/x
  3. Step 3: Cross multiply
    20,905.67x = 28,847.94 × 12,406.34
  4. Step 4: Simplify right side
    20,905.67x = 357,897,351.94
  5. Step 5: Solve for x
    x = 357,897,351.94/20,905.67
  6. Step 6: Final answer
    x = 17,119.63

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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.