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Finding the Fourth Proportional to 20,449.84, 30,675.44 and 5,657.52

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Solution

The fourth proportional to 20,449.84, 30,675.44 and 5,657.52 is: 8,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.84 : 30,675.44 = 5,657.52 : x
  2. Step 2: Convert to fraction form
    20,449.84/30,675.44 = 5,657.52/x
  3. Step 3: Cross multiply
    20,449.84x = 30,675.44 × 5,657.52
  4. Step 4: Simplify right side
    20,449.84x = 173,546,936.52
  5. Step 5: Solve for x
    x = 173,546,936.52/20,449.84
  6. Step 6: Final answer
    x = 8,486.47

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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.