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Finding the Fourth Proportional to 23,948.78, 33,047.20 and 13,874

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Solution

The fourth proportional to 23,948.78, 33,047.20 and 13,874 is: 19,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,948.78 : 33,047.20 = 13,874 : x
  2. Step 2: Convert to fraction form
    23,948.78/33,047.20 = 13,874/x
  3. Step 3: Cross multiply
    23,948.78x = 33,047.20 × 13,874
  4. Step 4: Simplify right side
    23,948.78x = 458,496,852.80
  5. Step 5: Solve for x
    x = 458,496,852.80/23,948.78
  6. Step 6: Final answer
    x = 19,144.89

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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.