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Finding the Fourth Proportional to 15,976.60, 23,956.80 and 9,404.80

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Solution

The fourth proportional to 15,976.60, 23,956.80 and 9,404.80 is: 14,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976.60 : 23,956.80 = 9,404.80 : x
  2. Step 2: Convert to fraction form
    15,976.60/23,956.80 = 9,404.80/x
  3. Step 3: Cross multiply
    15,976.60x = 23,956.80 × 9,404.80
  4. Step 4: Simplify right side
    15,976.60x = 225,308,912.64
  5. Step 5: Solve for x
    x = 225,308,912.64/15,976.60
  6. Step 6: Final answer
    x = 14,102.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.