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Finding the Fourth Proportional to 23,527.62, 32,467.10 and 12,917.43

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Solution

The fourth proportional to 23,527.62, 32,467.10 and 12,917.43 is: 17,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.62 : 32,467.10 = 12,917.43 : x
  2. Step 2: Convert to fraction form
    23,527.62/32,467.10 = 12,917.43/x
  3. Step 3: Cross multiply
    23,527.62x = 32,467.10 × 12,917.43
  4. Step 4: Simplify right side
    23,527.62x = 419,391,426.97
  5. Step 5: Solve for x
    x = 419,391,426.97/23,527.62
  6. Step 6: Final answer
    x = 17,825.49

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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.