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Finding the Fourth Proportional to 23,471.64, 32,391.50 and 12,861.72

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Solution

The fourth proportional to 23,471.64, 32,391.50 and 12,861.72 is: 17,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.64 : 32,391.50 = 12,861.72 : x
  2. Step 2: Convert to fraction form
    23,471.64/32,391.50 = 12,861.72/x
  3. Step 3: Cross multiply
    23,471.64x = 32,391.50 × 12,861.72
  4. Step 4: Simplify right side
    23,471.64x = 416,610,339.07
  5. Step 5: Solve for x
    x = 416,610,339.07/23,471.64
  6. Step 6: Final answer
    x = 17,749.52

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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.