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Finding the Fourth Proportional to 23,471.10, 32,391.36 and 12,861.18

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Solution

The fourth proportional to 23,471.10, 32,391.36 and 12,861.18 is: 17,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.10 : 32,391.36 = 12,861.18 : x
  2. Step 2: Convert to fraction form
    23,471.10/32,391.36 = 12,861.18/x
  3. Step 3: Cross multiply
    23,471.10x = 32,391.36 × 12,861.18
  4. Step 4: Simplify right side
    23,471.10x = 416,591,111.40
  5. Step 5: Solve for x
    x = 416,591,111.40/23,471.10
  6. Step 6: Final answer
    x = 17,749.11

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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.