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Finding the Fourth Proportional to 23,754.68, 32,782.74 and 13,144.76

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Solution

The fourth proportional to 23,754.68, 32,782.74 and 13,144.76 is: 18,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.68 : 32,782.74 = 13,144.76 : x
  2. Step 2: Convert to fraction form
    23,754.68/32,782.74 = 13,144.76/x
  3. Step 3: Cross multiply
    23,754.68x = 32,782.74 × 13,144.76
  4. Step 4: Simplify right side
    23,754.68x = 430,921,249.44
  5. Step 5: Solve for x
    x = 430,921,249.44/23,754.68
  6. Step 6: Final answer
    x = 18,140.48

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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.