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Finding the Fourth Proportional to 20,457.97, 30,686.92 and 5,666.83

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Solution

The fourth proportional to 20,457.97, 30,686.92 and 5,666.83 is: 8,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.97 : 30,686.92 = 5,666.83 : x
  2. Step 2: Convert to fraction form
    20,457.97/30,686.92 = 5,666.83/x
  3. Step 3: Cross multiply
    20,457.97x = 30,686.92 × 5,666.83
  4. Step 4: Simplify right side
    20,457.97x = 173,897,467.98
  5. Step 5: Solve for x
    x = 173,897,467.98/20,457.97
  6. Step 6: Final answer
    x = 8,500.23

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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.