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Finding the Fourth Proportional to 16,682.63, 23,022.09 and 9,230.63

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Solution

The fourth proportional to 16,682.63, 23,022.09 and 9,230.63 is: 12,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.63 : 23,022.09 = 9,230.63 : x
  2. Step 2: Convert to fraction form
    16,682.63/23,022.09 = 9,230.63/x
  3. Step 3: Cross multiply
    16,682.63x = 23,022.09 × 9,230.63
  4. Step 4: Simplify right side
    16,682.63x = 212,508,279.51
  5. Step 5: Solve for x
    x = 212,508,279.51/16,682.63
  6. Step 6: Final answer
    x = 12,738.30

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Double scale
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1.5x scale

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.