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Finding the Fourth Proportional to 17,853.75, 24,604.20 and 13,075.16

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Solution

The fourth proportional to 17,853.75, 24,604.20 and 13,075.16 is: 18,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.75 : 24,604.20 = 13,075.16 : x
  2. Step 2: Convert to fraction form
    17,853.75/24,604.20 = 13,075.16/x
  3. Step 3: Cross multiply
    17,853.75x = 24,604.20 × 13,075.16
  4. Step 4: Simplify right side
    17,853.75x = 321,703,728.65
  5. Step 5: Solve for x
    x = 321,703,728.65/17,853.75
  6. Step 6: Final answer
    x = 18,018.83

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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.