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Finding the Fourth Proportional to 20,322.96, 30,493.18 and 7,851.76

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Solution

The fourth proportional to 20,322.96, 30,493.18 and 7,851.76 is: 11,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.96 : 30,493.18 = 7,851.76 : x
  2. Step 2: Convert to fraction form
    20,322.96/30,493.18 = 7,851.76/x
  3. Step 3: Cross multiply
    20,322.96x = 30,493.18 × 7,851.76
  4. Step 4: Simplify right side
    20,322.96x = 239,425,131.00
  5. Step 5: Solve for x
    x = 239,425,131.00/20,322.96
  6. Step 6: Final answer
    x = 11,781.02

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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.