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Finding the Fourth Proportional to 16,736, 23,096.76 and 9,284

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Solution

The fourth proportional to 16,736, 23,096.76 and 9,284 is: 12,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,736 : 23,096.76 = 9,284 : x
  2. Step 2: Convert to fraction form
    16,736/23,096.76 = 9,284/x
  3. Step 3: Cross multiply
    16,736x = 23,096.76 × 9,284
  4. Step 4: Simplify right side
    16,736x = 214,430,319.84
  5. Step 5: Solve for x
    x = 214,430,319.84/16,736
  6. Step 6: Final answer
    x = 12,812.52

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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.