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Finding the Fourth Proportional to 20,838.44, 28,757.94 and 11,885.24

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Solution

The fourth proportional to 20,838.44, 28,757.94 and 11,885.24 is: 16,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.44 : 28,757.94 = 11,885.24 : x
  2. Step 2: Convert to fraction form
    20,838.44/28,757.94 = 11,885.24/x
  3. Step 3: Cross multiply
    20,838.44x = 28,757.94 × 11,885.24
  4. Step 4: Simplify right side
    20,838.44x = 341,795,018.81
  5. Step 5: Solve for x
    x = 341,795,018.81/20,838.44
  6. Step 6: Final answer
    x = 16,402.14

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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.