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Finding the Fourth Proportional to 26,200, 39,310.72 and 11,401.28

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Solution

The fourth proportional to 26,200, 39,310.72 and 11,401.28 is: 17,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200 : 39,310.72 = 11,401.28 : x
  2. Step 2: Convert to fraction form
    26,200/39,310.72 = 11,401.28/x
  3. Step 3: Cross multiply
    26,200x = 39,310.72 × 11,401.28
  4. Step 4: Simplify right side
    26,200x = 448,192,525.72
  5. Step 5: Solve for x
    x = 448,192,525.72/26,200
  6. Step 6: Final answer
    x = 17,106.58

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