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Finding the Fourth Proportional to 23,471.64, 32,389.92 and 12,861.04

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Solution

The fourth proportional to 23,471.64, 32,389.92 and 12,861.04 is: 17,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.64 : 32,389.92 = 12,861.04 : x
  2. Step 2: Convert to fraction form
    23,471.64/32,389.92 = 12,861.04/x
  3. Step 3: Cross multiply
    23,471.64x = 32,389.92 × 12,861.04
  4. Step 4: Simplify right side
    23,471.64x = 416,568,056.72
  5. Step 5: Solve for x
    x = 416,568,056.72/23,471.64
  6. Step 6: Final answer
    x = 17,747.72

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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.