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Finding the Fourth Proportional to 23,206.57, 32,025.11 and 12,596.20

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Solution

The fourth proportional to 23,206.57, 32,025.11 and 12,596.20 is: 17,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.57 : 32,025.11 = 12,596.20 : x
  2. Step 2: Convert to fraction form
    23,206.57/32,025.11 = 12,596.20/x
  3. Step 3: Cross multiply
    23,206.57x = 32,025.11 × 12,596.20
  4. Step 4: Simplify right side
    23,206.57x = 403,394,690.58
  5. Step 5: Solve for x
    x = 403,394,690.58/23,206.57
  6. Step 6: Final answer
    x = 17,382.78

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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.