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Finding the Fourth Proportional to 28,004.80, 38,632.80 and 23,857.60

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Solution

The fourth proportional to 28,004.80, 38,632.80 and 23,857.60 is: 32,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004.80 : 38,632.80 = 23,857.60 : x
  2. Step 2: Convert to fraction form
    28,004.80/38,632.80 = 23,857.60/x
  3. Step 3: Cross multiply
    28,004.80x = 38,632.80 × 23,857.60
  4. Step 4: Simplify right side
    28,004.80x = 921,685,889.28
  5. Step 5: Solve for x
    x = 921,685,889.28/28,004.80
  6. Step 6: Final answer
    x = 32,911.71

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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.