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Finding the Fourth Proportional to 23,472.14, 32,391.59 and 12,861.72

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Solution

The fourth proportional to 23,472.14, 32,391.59 and 12,861.72 is: 17,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.14 : 32,391.59 = 12,861.72 : x
  2. Step 2: Convert to fraction form
    23,472.14/32,391.59 = 12,861.72/x
  3. Step 3: Cross multiply
    23,472.14x = 32,391.59 × 12,861.72
  4. Step 4: Simplify right side
    23,472.14x = 416,611,496.63
  5. Step 5: Solve for x
    x = 416,611,496.63/23,472.14
  6. Step 6: Final answer
    x = 17,749.19

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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.