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Finding the Fourth Proportional to 26,709.84, 40,075.02 and 9,169.56

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Solution

The fourth proportional to 26,709.84, 40,075.02 and 9,169.56 is: 13,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,709.84 : 40,075.02 = 9,169.56 : x
  2. Step 2: Convert to fraction form
    26,709.84/40,075.02 = 9,169.56/x
  3. Step 3: Cross multiply
    26,709.84x = 40,075.02 × 9,169.56
  4. Step 4: Simplify right side
    26,709.84x = 367,470,300.39
  5. Step 5: Solve for x
    x = 367,470,300.39/26,709.84
  6. Step 6: Final answer
    x = 13,757.86

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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.