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Finding the Fourth Proportional to 23,754.72, 32,783.46 and 13,147.76

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Solution

The fourth proportional to 23,754.72, 32,783.46 and 13,147.76 is: 18,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.72 : 32,783.46 = 13,147.76 : x
  2. Step 2: Convert to fraction form
    23,754.72/32,783.46 = 13,147.76/x
  3. Step 3: Cross multiply
    23,754.72x = 32,783.46 × 13,147.76
  4. Step 4: Simplify right side
    23,754.72x = 431,029,064.05
  5. Step 5: Solve for x
    x = 431,029,064.05/23,754.72
  6. Step 6: Final answer
    x = 18,144.99

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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.