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Finding the Fourth Proportional to 27,699.49, 41,554.10 and 11,914.21

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Solution

The fourth proportional to 27,699.49, 41,554.10 and 11,914.21 is: 17,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,699.49 : 41,554.10 = 11,914.21 : x
  2. Step 2: Convert to fraction form
    27,699.49/41,554.10 = 11,914.21/x
  3. Step 3: Cross multiply
    27,699.49x = 41,554.10 × 11,914.21
  4. Step 4: Simplify right side
    27,699.49x = 495,084,273.76
  5. Step 5: Solve for x
    x = 495,084,273.76/27,699.49
  6. Step 6: Final answer
    x = 17,873.41

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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.