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Finding the Fourth Proportional to 23,472.92, 32,393.38 and 12,863.22

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Solution

The fourth proportional to 23,472.92, 32,393.38 and 12,863.22 is: 17,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.92 : 32,393.38 = 12,863.22 : x
  2. Step 2: Convert to fraction form
    23,472.92/32,393.38 = 12,863.22/x
  3. Step 3: Cross multiply
    23,472.92x = 32,393.38 × 12,863.22
  4. Step 4: Simplify right side
    23,472.92x = 416,683,173.48
  5. Step 5: Solve for x
    x = 416,683,173.48/23,472.92
  6. Step 6: Final answer
    x = 17,751.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.