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Finding the Fourth Proportional to 23,400, 32,292 and 13,469.76

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Solution

The fourth proportional to 23,400, 32,292 and 13,469.76 is: 18,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400 : 32,292 = 13,469.76 : x
  2. Step 2: Convert to fraction form
    23,400/32,292 = 13,469.76/x
  3. Step 3: Cross multiply
    23,400x = 32,292 × 13,469.76
  4. Step 4: Simplify right side
    23,400x = 434,965,489.92
  5. Step 5: Solve for x
    x = 434,965,489.92/23,400
  6. Step 6: Final answer
    x = 18,588.27

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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.