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Finding the Fourth Proportional to 20,484.42, 30,716.29 and 7,994.82

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Solution

The fourth proportional to 20,484.42, 30,716.29 and 7,994.82 is: 11,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484.42 : 30,716.29 = 7,994.82 : x
  2. Step 2: Convert to fraction form
    20,484.42/30,716.29 = 7,994.82/x
  3. Step 3: Cross multiply
    20,484.42x = 30,716.29 × 7,994.82
  4. Step 4: Simplify right side
    20,484.42x = 245,571,209.62
  5. Step 5: Solve for x
    x = 245,571,209.62/20,484.42
  6. Step 6: Final answer
    x = 11,988.19

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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.