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Finding the Fourth Proportional to 26,944.98, 40,412.64 and 9,419.82

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Solution

The fourth proportional to 26,944.98, 40,412.64 and 9,419.82 is: 14,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,944.98 : 40,412.64 = 9,419.82 : x
  2. Step 2: Convert to fraction form
    26,944.98/40,412.64 = 9,419.82/x
  3. Step 3: Cross multiply
    26,944.98x = 40,412.64 × 9,419.82
  4. Step 4: Simplify right side
    26,944.98x = 380,679,794.52
  5. Step 5: Solve for x
    x = 380,679,794.52/26,944.98
  6. Step 6: Final answer
    x = 14,128.04

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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.