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Finding the Fourth Proportional to 23,206.37, 32,024.82 and 12,596

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Solution

The fourth proportional to 23,206.37, 32,024.82 and 12,596 is: 17,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.37 : 32,024.82 = 12,596 : x
  2. Step 2: Convert to fraction form
    23,206.37/32,024.82 = 12,596/x
  3. Step 3: Cross multiply
    23,206.37x = 32,024.82 × 12,596
  4. Step 4: Simplify right side
    23,206.37x = 403,384,632.72
  5. Step 5: Solve for x
    x = 403,384,632.72/23,206.37
  6. Step 6: Final answer
    x = 17,382.50

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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.