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Finding the Fourth Proportional to 20,457.46, 30,682.71 and 5,662.91

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Solution

The fourth proportional to 20,457.46, 30,682.71 and 5,662.91 is: 8,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.46 : 30,682.71 = 5,662.91 : x
  2. Step 2: Convert to fraction form
    20,457.46/30,682.71 = 5,662.91/x
  3. Step 3: Cross multiply
    20,457.46x = 30,682.71 × 5,662.91
  4. Step 4: Simplify right side
    20,457.46x = 173,753,425.29
  5. Step 5: Solve for x
    x = 173,753,425.29/20,457.46
  6. Step 6: Final answer
    x = 8,493.40

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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.