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Finding the Fourth Proportional to 23,079.54, 31,849.73 and 12,469.14

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Solution

The fourth proportional to 23,079.54, 31,849.73 and 12,469.14 is: 17,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,079.54 : 31,849.73 = 12,469.14 : x
  2. Step 2: Convert to fraction form
    23,079.54/31,849.73 = 12,469.14/x
  3. Step 3: Cross multiply
    23,079.54x = 31,849.73 × 12,469.14
  4. Step 4: Simplify right side
    23,079.54x = 397,138,679.99
  5. Step 5: Solve for x
    x = 397,138,679.99/23,079.54
  6. Step 6: Final answer
    x = 17,207.39

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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.