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Finding the Fourth Proportional to 26,939.67, 40,406.14 and 7,219.60

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Solution

The fourth proportional to 26,939.67, 40,406.14 and 7,219.60 is: 10,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,939.67 : 40,406.14 = 7,219.60 : x
  2. Step 2: Convert to fraction form
    26,939.67/40,406.14 = 7,219.60/x
  3. Step 3: Cross multiply
    26,939.67x = 40,406.14 × 7,219.60
  4. Step 4: Simplify right side
    26,939.67x = 291,716,168.34
  5. Step 5: Solve for x
    x = 291,716,168.34/26,939.67
  6. Step 6: Final answer
    x = 10,828.50

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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.