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Finding the Fourth Proportional to 23,471.96, 32,390.34 and 12,861.32

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Solution

The fourth proportional to 23,471.96, 32,390.34 and 12,861.32 is: 17,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.96 : 32,390.34 = 12,861.32 : x
  2. Step 2: Convert to fraction form
    23,471.96/32,390.34 = 12,861.32/x
  3. Step 3: Cross multiply
    23,471.96x = 32,390.34 × 12,861.32
  4. Step 4: Simplify right side
    23,471.96x = 416,582,527.65
  5. Step 5: Solve for x
    x = 416,582,527.65/23,471.96
  6. Step 6: Final answer
    x = 17,748.09

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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.