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Finding the Fourth Proportional to 23,754.74, 32,782.68 and 13,684.73

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Solution

The fourth proportional to 23,754.74, 32,782.68 and 13,684.73 is: 18,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.74 : 32,782.68 = 13,684.73 : x
  2. Step 2: Convert to fraction form
    23,754.74/32,782.68 = 13,684.73/x
  3. Step 3: Cross multiply
    23,754.74x = 32,782.68 × 13,684.73
  4. Step 4: Simplify right side
    23,754.74x = 448,621,960.56
  5. Step 5: Solve for x
    x = 448,621,960.56/23,754.74
  6. Step 6: Final answer
    x = 18,885.58

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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.