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Finding the Fourth Proportional to 23,872.35, 35,754.03 and 11,401.16

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Solution

The fourth proportional to 23,872.35, 35,754.03 and 11,401.16 is: 17,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.35 : 35,754.03 = 11,401.16 : x
  2. Step 2: Convert to fraction form
    23,872.35/35,754.03 = 11,401.16/x
  3. Step 3: Cross multiply
    23,872.35x = 35,754.03 × 11,401.16
  4. Step 4: Simplify right side
    23,872.35x = 407,637,571.65
  5. Step 5: Solve for x
    x = 407,637,571.65/23,872.35
  6. Step 6: Final answer
    x = 17,075.72

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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.