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Finding the Fourth Proportional to 26,749.69, 36,914.50 and 15,419.12

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Solution

The fourth proportional to 26,749.69, 36,914.50 and 15,419.12 is: 21,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,749.69 : 36,914.50 = 15,419.12 : x
  2. Step 2: Convert to fraction form
    26,749.69/36,914.50 = 15,419.12/x
  3. Step 3: Cross multiply
    26,749.69x = 36,914.50 × 15,419.12
  4. Step 4: Simplify right side
    26,749.69x = 569,188,993.25
  5. Step 5: Solve for x
    x = 569,188,993.25/26,749.69
  6. Step 6: Final answer
    x = 21,278.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.