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Finding the Fourth Proportional to 23,758.80, 32,786.20 and 13,148.22

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Solution

The fourth proportional to 23,758.80, 32,786.20 and 13,148.22 is: 18,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.80 : 32,786.20 = 13,148.22 : x
  2. Step 2: Convert to fraction form
    23,758.80/32,786.20 = 13,148.22/x
  3. Step 3: Cross multiply
    23,758.80x = 32,786.20 × 13,148.22
  4. Step 4: Simplify right side
    23,758.80x = 431,080,170.56
  5. Step 5: Solve for x
    x = 431,080,170.56/23,758.80
  6. Step 6: Final answer
    x = 18,144.02

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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.