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Finding the Fourth Proportional to 16,794.38, 23,175.74 and 9,240.68

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Solution

The fourth proportional to 16,794.38, 23,175.74 and 9,240.68 is: 12,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,794.38 : 23,175.74 = 9,240.68 : x
  2. Step 2: Convert to fraction form
    16,794.38/23,175.74 = 9,240.68/x
  3. Step 3: Cross multiply
    16,794.38x = 23,175.74 × 9,240.68
  4. Step 4: Simplify right side
    16,794.38x = 214,159,597.10
  5. Step 5: Solve for x
    x = 214,159,597.10/16,794.38
  6. Step 6: Final answer
    x = 12,751.86

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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.