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Finding the Fourth Proportional to 20,494.14, 30,728.89 and 13,900.34

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Solution

The fourth proportional to 20,494.14, 30,728.89 and 13,900.34 is: 20,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.14 : 30,728.89 = 13,900.34 : x
  2. Step 2: Convert to fraction form
    20,494.14/30,728.89 = 13,900.34/x
  3. Step 3: Cross multiply
    20,494.14x = 30,728.89 × 13,900.34
  4. Step 4: Simplify right side
    20,494.14x = 427,142,018.82
  5. Step 5: Solve for x
    x = 427,142,018.82/20,494.14
  6. Step 6: Final answer
    x = 20,842.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.