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Finding the Fourth Proportional to 23,472.26, 32,391.54 and 12,861.87

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Solution

The fourth proportional to 23,472.26, 32,391.54 and 12,861.87 is: 17,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.26 : 32,391.54 = 12,861.87 : x
  2. Step 2: Convert to fraction form
    23,472.26/32,391.54 = 12,861.87/x
  3. Step 3: Cross multiply
    23,472.26x = 32,391.54 × 12,861.87
  4. Step 4: Simplify right side
    23,472.26x = 416,615,776.58
  5. Step 5: Solve for x
    x = 416,615,776.58/23,472.26
  6. Step 6: Final answer
    x = 17,749.28

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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.