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Finding the Fourth Proportional to 23,201.92, 32,021.76 and 14,708.26

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Solution

The fourth proportional to 23,201.92, 32,021.76 and 14,708.26 is: 20,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.92 : 32,021.76 = 14,708.26 : x
  2. Step 2: Convert to fraction form
    23,201.92/32,021.76 = 14,708.26/x
  3. Step 3: Cross multiply
    23,201.92x = 32,021.76 × 14,708.26
  4. Step 4: Simplify right side
    23,201.92x = 470,984,371.74
  5. Step 5: Solve for x
    x = 470,984,371.74/23,201.92
  6. Step 6: Final answer
    x = 20,299.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.