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Finding the Fourth Proportional to 26,483.49, 39,735.54 and 11,682

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Solution

The fourth proportional to 26,483.49, 39,735.54 and 11,682 is: 17,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,483.49 : 39,735.54 = 11,682 : x
  2. Step 2: Convert to fraction form
    26,483.49/39,735.54 = 11,682/x
  3. Step 3: Cross multiply
    26,483.49x = 39,735.54 × 11,682
  4. Step 4: Simplify right side
    26,483.49x = 464,190,578.28
  5. Step 5: Solve for x
    x = 464,190,578.28/26,483.49
  6. Step 6: Final answer
    x = 17,527.55

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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.