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Finding the Fourth Proportional to 17,343, 23,933.16 and 9,385.05

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Solution

The fourth proportional to 17,343, 23,933.16 and 9,385.05 is: 12,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,343 : 23,933.16 = 9,385.05 : x
  2. Step 2: Convert to fraction form
    17,343/23,933.16 = 9,385.05/x
  3. Step 3: Cross multiply
    17,343x = 23,933.16 × 9,385.05
  4. Step 4: Simplify right side
    17,343x = 224,613,903.26
  5. Step 5: Solve for x
    x = 224,613,903.26/17,343
  6. Step 6: Final answer
    x = 12,951.27

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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.