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Finding the Fourth Proportional to 26,884.26, 40,335 and 11,096.70

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Solution

The fourth proportional to 26,884.26, 40,335 and 11,096.70 is: 16,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.26 : 40,335 = 11,096.70 : x
  2. Step 2: Convert to fraction form
    26,884.26/40,335 = 11,096.70/x
  3. Step 3: Cross multiply
    26,884.26x = 40,335 × 11,096.70
  4. Step 4: Simplify right side
    26,884.26x = 447,585,394.50
  5. Step 5: Solve for x
    x = 447,585,394.50/26,884.26
  6. Step 6: Final answer
    x = 16,648.60

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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.