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Finding the Fourth Proportional to 17,267.38, 23,831.09 and 9,714.03

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Solution

The fourth proportional to 17,267.38, 23,831.09 and 9,714.03 is: 13,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.38 : 23,831.09 = 9,714.03 : x
  2. Step 2: Convert to fraction form
    17,267.38/23,831.09 = 9,714.03/x
  3. Step 3: Cross multiply
    17,267.38x = 23,831.09 × 9,714.03
  4. Step 4: Simplify right side
    17,267.38x = 231,495,794.36
  5. Step 5: Solve for x
    x = 231,495,794.36/17,267.38
  6. Step 6: Final answer
    x = 13,406.54

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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.