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Finding the Fourth Proportional to 23,517.12, 32,454 and 12,906.72

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Solution

The fourth proportional to 23,517.12, 32,454 and 12,906.72 is: 17,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517.12 : 32,454 = 12,906.72 : x
  2. Step 2: Convert to fraction form
    23,517.12/32,454 = 12,906.72/x
  3. Step 3: Cross multiply
    23,517.12x = 32,454 × 12,906.72
  4. Step 4: Simplify right side
    23,517.12x = 418,874,690.88
  5. Step 5: Solve for x
    x = 418,874,690.88/23,517.12
  6. Step 6: Final answer
    x = 17,811.48

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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.