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Finding the Fourth Proportional to 17,260.72, 23,834.74 and 16,375

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Solution

The fourth proportional to 17,260.72, 23,834.74 and 16,375 is: 22,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,260.72 : 23,834.74 = 16,375 : x
  2. Step 2: Convert to fraction form
    17,260.72/23,834.74 = 16,375/x
  3. Step 3: Cross multiply
    17,260.72x = 23,834.74 × 16,375
  4. Step 4: Simplify right side
    17,260.72x = 390,293,867.50
  5. Step 5: Solve for x
    x = 390,293,867.50/17,260.72
  6. Step 6: Final answer
    x = 22,611.68

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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.