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Finding the Fourth Proportional to 23,832.80, 32,871.12 and 14,391.44

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Solution

The fourth proportional to 23,832.80, 32,871.12 and 14,391.44 is: 19,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.80 : 32,871.12 = 14,391.44 : x
  2. Step 2: Convert to fraction form
    23,832.80/32,871.12 = 14,391.44/x
  3. Step 3: Cross multiply
    23,832.80x = 32,871.12 × 14,391.44
  4. Step 4: Simplify right side
    23,832.80x = 473,062,751.21
  5. Step 5: Solve for x
    x = 473,062,751.21/23,832.80
  6. Step 6: Final answer
    x = 19,849.23

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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.