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Finding the Fourth Proportional to 23,618.96, 32,593.49 and 12,863.59

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Solution

The fourth proportional to 23,618.96, 32,593.49 and 12,863.59 is: 17,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618.96 : 32,593.49 = 12,863.59 : x
  2. Step 2: Convert to fraction form
    23,618.96/32,593.49 = 12,863.59/x
  3. Step 3: Cross multiply
    23,618.96x = 32,593.49 × 12,863.59
  4. Step 4: Simplify right side
    23,618.96x = 419,269,324.19
  5. Step 5: Solve for x
    x = 419,269,324.19/23,618.96
  6. Step 6: Final answer
    x = 17,751.39

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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.