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Finding the Fourth Proportional to 23,632.86, 35,471.16 and 11,954.28

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Solution

The fourth proportional to 23,632.86, 35,471.16 and 11,954.28 is: 17,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.86 : 35,471.16 = 11,954.28 : x
  2. Step 2: Convert to fraction form
    23,632.86/35,471.16 = 11,954.28/x
  3. Step 3: Cross multiply
    23,632.86x = 35,471.16 × 11,954.28
  4. Step 4: Simplify right side
    23,632.86x = 424,032,178.56
  5. Step 5: Solve for x
    x = 424,032,178.56/23,632.86
  6. Step 6: Final answer
    x = 17,942.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.