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Finding the Fourth Proportional to 20,449.81, 30,675.40 and 5,657.49

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Solution

The fourth proportional to 20,449.81, 30,675.40 and 5,657.49 is: 8,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.81 : 30,675.40 = 5,657.49 : x
  2. Step 2: Convert to fraction form
    20,449.81/30,675.40 = 5,657.49/x
  3. Step 3: Cross multiply
    20,449.81x = 30,675.40 × 5,657.49
  4. Step 4: Simplify right side
    20,449.81x = 173,545,686.48
  5. Step 5: Solve for x
    x = 173,545,686.48/20,449.81
  6. Step 6: Final answer
    x = 8,486.42

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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.