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Finding the Fourth Proportional to 16,753.89, 23,120.53 and 9,200.38

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Solution

The fourth proportional to 16,753.89, 23,120.53 and 9,200.38 is: 12,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753.89 : 23,120.53 = 9,200.38 : x
  2. Step 2: Convert to fraction form
    16,753.89/23,120.53 = 9,200.38/x
  3. Step 3: Cross multiply
    16,753.89x = 23,120.53 × 9,200.38
  4. Step 4: Simplify right side
    16,753.89x = 212,717,650.23
  5. Step 5: Solve for x
    x = 212,717,650.23/16,753.89
  6. Step 6: Final answer
    x = 12,696.61

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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.