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Finding the Fourth Proportional to 20,461.82, 30,707.30 and 9,361.58

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Solution

The fourth proportional to 20,461.82, 30,707.30 and 9,361.58 is: 14,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.82 : 30,707.30 = 9,361.58 : x
  2. Step 2: Convert to fraction form
    20,461.82/30,707.30 = 9,361.58/x
  3. Step 3: Cross multiply
    20,461.82x = 30,707.30 × 9,361.58
  4. Step 4: Simplify right side
    20,461.82x = 287,468,715.40
  5. Step 5: Solve for x
    x = 287,468,715.40/20,461.82
  6. Step 6: Final answer
    x = 14,049.03

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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.