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Finding the Fourth Proportional to 20,106.96, 27,736.20 and 12,642

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Solution

The fourth proportional to 20,106.96, 27,736.20 and 12,642 is: 17,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.96 : 27,736.20 = 12,642 : x
  2. Step 2: Convert to fraction form
    20,106.96/27,736.20 = 12,642/x
  3. Step 3: Cross multiply
    20,106.96x = 27,736.20 × 12,642
  4. Step 4: Simplify right side
    20,106.96x = 350,641,040.40
  5. Step 5: Solve for x
    x = 350,641,040.40/20,106.96
  6. Step 6: Final answer
    x = 17,438.79

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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.