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Finding the Fourth Proportional to 13,881, 20,825.10 and 4,996.02

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Solution

The fourth proportional to 13,881, 20,825.10 and 4,996.02 is: 7,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881 : 20,825.10 = 4,996.02 : x
  2. Step 2: Convert to fraction form
    13,881/20,825.10 = 4,996.02/x
  3. Step 3: Cross multiply
    13,881x = 20,825.10 × 4,996.02
  4. Step 4: Simplify right side
    13,881x = 104,042,616.10
  5. Step 5: Solve for x
    x = 104,042,616.10/13,881
  6. Step 6: Final answer
    x = 7,495.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.