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Finding the Fourth Proportional to 20,305.74, 30,457.92 and 7,157.76

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Solution

The fourth proportional to 20,305.74, 30,457.92 and 7,157.76 is: 10,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.74 : 30,457.92 = 7,157.76 : x
  2. Step 2: Convert to fraction form
    20,305.74/30,457.92 = 7,157.76/x
  3. Step 3: Cross multiply
    20,305.74x = 30,457.92 × 7,157.76
  4. Step 4: Simplify right side
    20,305.74x = 218,010,481.46
  5. Step 5: Solve for x
    x = 218,010,481.46/20,305.74
  6. Step 6: Final answer
    x = 10,736.40

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1.5x scale

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.