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Finding the Fourth Proportional to 20,057.85, 27,680.85 and 11,106.34

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Solution

The fourth proportional to 20,057.85, 27,680.85 and 11,106.34 is: 15,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.85 : 27,680.85 = 11,106.34 : x
  2. Step 2: Convert to fraction form
    20,057.85/27,680.85 = 11,106.34/x
  3. Step 3: Cross multiply
    20,057.85x = 27,680.85 × 11,106.34
  4. Step 4: Simplify right side
    20,057.85x = 307,432,931.59
  5. Step 5: Solve for x
    x = 307,432,931.59/20,057.85
  6. Step 6: Final answer
    x = 15,327.31

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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.