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Finding the Fourth Proportional to 23,608.92, 32,580.44 and 12,998.55

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Solution

The fourth proportional to 23,608.92, 32,580.44 and 12,998.55 is: 17,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,608.92 : 32,580.44 = 12,998.55 : x
  2. Step 2: Convert to fraction form
    23,608.92/32,580.44 = 12,998.55/x
  3. Step 3: Cross multiply
    23,608.92x = 32,580.44 × 12,998.55
  4. Step 4: Simplify right side
    23,608.92x = 423,498,478.36
  5. Step 5: Solve for x
    x = 423,498,478.36/23,608.92
  6. Step 6: Final answer
    x = 17,938.07

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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.