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Finding the Fourth Proportional to 23,206.50, 32,024.97 and 12,596.21

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Solution

The fourth proportional to 23,206.50, 32,024.97 and 12,596.21 is: 17,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.50 : 32,024.97 = 12,596.21 : x
  2. Step 2: Convert to fraction form
    23,206.50/32,024.97 = 12,596.21/x
  3. Step 3: Cross multiply
    23,206.50x = 32,024.97 × 12,596.21
  4. Step 4: Simplify right side
    23,206.50x = 403,393,207.33
  5. Step 5: Solve for x
    x = 403,393,207.33/23,206.50
  6. Step 6: Final answer
    x = 17,382.77

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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.