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Finding the Fourth Proportional to 23,596.82, 32,562.38 and 12,984.42

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Solution

The fourth proportional to 23,596.82, 32,562.38 and 12,984.42 is: 17,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.82 : 32,562.38 = 12,984.42 : x
  2. Step 2: Convert to fraction form
    23,596.82/32,562.38 = 12,984.42/x
  3. Step 3: Cross multiply
    23,596.82x = 32,562.38 × 12,984.42
  4. Step 4: Simplify right side
    23,596.82x = 422,803,618.12
  5. Step 5: Solve for x
    x = 422,803,618.12/23,596.82
  6. Step 6: Final answer
    x = 17,917.82

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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.