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Finding the Fourth Proportional to 13,828, 19,083.09 and 7,540.78

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Solution

The fourth proportional to 13,828, 19,083.09 and 7,540.78 is: 10,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828 : 19,083.09 = 7,540.78 : x
  2. Step 2: Convert to fraction form
    13,828/19,083.09 = 7,540.78/x
  3. Step 3: Cross multiply
    13,828x = 19,083.09 × 7,540.78
  4. Step 4: Simplify right side
    13,828x = 143,901,383.41
  5. Step 5: Solve for x
    x = 143,901,383.41/13,828
  6. Step 6: Final answer
    x = 10,406.52

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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.