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Finding the Fourth Proportional to 20,200.68, 30,302.64 and 7,052.76

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Solution

The fourth proportional to 20,200.68, 30,302.64 and 7,052.76 is: 10,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.68 : 30,302.64 = 7,052.76 : x
  2. Step 2: Convert to fraction form
    20,200.68/30,302.64 = 7,052.76/x
  3. Step 3: Cross multiply
    20,200.68x = 30,302.64 × 7,052.76
  4. Step 4: Simplify right side
    20,200.68x = 213,717,247.29
  5. Step 5: Solve for x
    x = 213,717,247.29/20,200.68
  6. Step 6: Final answer
    x = 10,579.71

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