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Finding the Fourth Proportional to 23,531.87, 32,474.03 and 12,922.20

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Solution

The fourth proportional to 23,531.87, 32,474.03 and 12,922.20 is: 17,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.87 : 32,474.03 = 12,922.20 : x
  2. Step 2: Convert to fraction form
    23,531.87/32,474.03 = 12,922.20/x
  3. Step 3: Cross multiply
    23,531.87x = 32,474.03 × 12,922.20
  4. Step 4: Simplify right side
    23,531.87x = 419,635,845.86
  5. Step 5: Solve for x
    x = 419,635,845.86/23,531.87
  6. Step 6: Final answer
    x = 17,832.66

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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.