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Finding the Fourth Proportional to 26,506.77, 39,765.03 and 8,738.49

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Solution

The fourth proportional to 26,506.77, 39,765.03 and 8,738.49 is: 13,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.77 : 39,765.03 = 8,738.49 : x
  2. Step 2: Convert to fraction form
    26,506.77/39,765.03 = 8,738.49/x
  3. Step 3: Cross multiply
    26,506.77x = 39,765.03 × 8,738.49
  4. Step 4: Simplify right side
    26,506.77x = 347,486,317.00
  5. Step 5: Solve for x
    x = 347,486,317.00/26,506.77
  6. Step 6: Final answer
    x = 13,109.34

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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.