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Finding the Fourth Proportional to 23,832.88, 32,887.80 and 13,222.16

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Solution

The fourth proportional to 23,832.88, 32,887.80 and 13,222.16 is: 18,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.88 : 32,887.80 = 13,222.16 : x
  2. Step 2: Convert to fraction form
    23,832.88/32,887.80 = 13,222.16/x
  3. Step 3: Cross multiply
    23,832.88x = 32,887.80 × 13,222.16
  4. Step 4: Simplify right side
    23,832.88x = 434,847,753.65
  5. Step 5: Solve for x
    x = 434,847,753.65/23,832.88
  6. Step 6: Final answer
    x = 18,245.71

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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.