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Finding the Fourth Proportional to 26,852.86, 40,268.94 and 10,204.12

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Solution

The fourth proportional to 26,852.86, 40,268.94 and 10,204.12 is: 15,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,852.86 : 40,268.94 = 10,204.12 : x
  2. Step 2: Convert to fraction form
    26,852.86/40,268.94 = 10,204.12/x
  3. Step 3: Cross multiply
    26,852.86x = 40,268.94 × 10,204.12
  4. Step 4: Simplify right side
    26,852.86x = 410,909,096.03
  5. Step 5: Solve for x
    x = 410,909,096.03/26,852.86
  6. Step 6: Final answer
    x = 15,302.25

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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.