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Finding the Fourth Proportional to 20,446.85, 30,655.92 and 7,956.35

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Solution

The fourth proportional to 20,446.85, 30,655.92 and 7,956.35 is: 11,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.85 : 30,655.92 = 7,956.35 : x
  2. Step 2: Convert to fraction form
    20,446.85/30,655.92 = 7,956.35/x
  3. Step 3: Cross multiply
    20,446.85x = 30,655.92 × 7,956.35
  4. Step 4: Simplify right side
    20,446.85x = 243,909,229.09
  5. Step 5: Solve for x
    x = 243,909,229.09/20,446.85
  6. Step 6: Final answer
    x = 11,928.94

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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.