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Finding the Fourth Proportional to 26,678.50, 40,009.24 and 10,883.50

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Solution

The fourth proportional to 26,678.50, 40,009.24 and 10,883.50 is: 16,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678.50 : 40,009.24 = 10,883.50 : x
  2. Step 2: Convert to fraction form
    26,678.50/40,009.24 = 10,883.50/x
  3. Step 3: Cross multiply
    26,678.50x = 40,009.24 × 10,883.50
  4. Step 4: Simplify right side
    26,678.50x = 435,440,477.12
  5. Step 5: Solve for x
    x = 435,440,477.12/26,678.50
  6. Step 6: Final answer
    x = 16,321.78

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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.