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Finding the Fourth Proportional to 23,448, 32,351.82 and 13,372.77

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Solution

The fourth proportional to 23,448, 32,351.82 and 13,372.77 is: 18,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448 : 32,351.82 = 13,372.77 : x
  2. Step 2: Convert to fraction form
    23,448/32,351.82 = 13,372.77/x
  3. Step 3: Cross multiply
    23,448x = 32,351.82 × 13,372.77
  4. Step 4: Simplify right side
    23,448x = 432,633,447.94
  5. Step 5: Solve for x
    x = 432,633,447.94/23,448
  6. Step 6: Final answer
    x = 18,450.76

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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.