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Finding the Fourth Proportional to 19,850.40, 27,384.89 and 11,892.42

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Solution

The fourth proportional to 19,850.40, 27,384.89 and 11,892.42 is: 16,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.40 : 27,384.89 = 11,892.42 : x
  2. Step 2: Convert to fraction form
    19,850.40/27,384.89 = 11,892.42/x
  3. Step 3: Cross multiply
    19,850.40x = 27,384.89 × 11,892.42
  4. Step 4: Simplify right side
    19,850.40x = 325,672,554.07
  5. Step 5: Solve for x
    x = 325,672,554.07/19,850.40
  6. Step 6: Final answer
    x = 16,406.35

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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.