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Finding the Fourth Proportional to 20,593.68, 30,892.68 and 6,742.68

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Solution

The fourth proportional to 20,593.68, 30,892.68 and 6,742.68 is: 10,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.68 : 30,892.68 = 6,742.68 : x
  2. Step 2: Convert to fraction form
    20,593.68/30,892.68 = 6,742.68/x
  3. Step 3: Cross multiply
    20,593.68x = 30,892.68 × 6,742.68
  4. Step 4: Simplify right side
    20,593.68x = 208,299,455.58
  5. Step 5: Solve for x
    x = 208,299,455.58/20,593.68
  6. Step 6: Final answer
    x = 10,114.73

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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.