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Finding the Fourth Proportional to 23,669.28, 32,662.80 and 13,057.92

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Solution

The fourth proportional to 23,669.28, 32,662.80 and 13,057.92 is: 18,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,669.28 : 32,662.80 = 13,057.92 : x
  2. Step 2: Convert to fraction form
    23,669.28/32,662.80 = 13,057.92/x
  3. Step 3: Cross multiply
    23,669.28x = 32,662.80 × 13,057.92
  4. Step 4: Simplify right side
    23,669.28x = 426,508,229.38
  5. Step 5: Solve for x
    x = 426,508,229.38/23,669.28
  6. Step 6: Final answer
    x = 18,019.48

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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.