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Finding the Fourth Proportional to 16,751, 23,117.46 and 9,299

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Solution

The fourth proportional to 16,751, 23,117.46 and 9,299 is: 12,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,751 : 23,117.46 = 9,299 : x
  2. Step 2: Convert to fraction form
    16,751/23,117.46 = 9,299/x
  3. Step 3: Cross multiply
    16,751x = 23,117.46 × 9,299
  4. Step 4: Simplify right side
    16,751x = 214,969,260.54
  5. Step 5: Solve for x
    x = 214,969,260.54/16,751
  6. Step 6: Final answer
    x = 12,833.22

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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.