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Finding the Fourth Proportional to 20,378.34, 30,557.43 and 7,228.74

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Solution

The fourth proportional to 20,378.34, 30,557.43 and 7,228.74 is: 10,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378.34 : 30,557.43 = 7,228.74 : x
  2. Step 2: Convert to fraction form
    20,378.34/30,557.43 = 7,228.74/x
  3. Step 3: Cross multiply
    20,378.34x = 30,557.43 × 7,228.74
  4. Step 4: Simplify right side
    20,378.34x = 220,891,716.54
  5. Step 5: Solve for x
    x = 220,891,716.54/20,378.34
  6. Step 6: Final answer
    x = 10,839.53

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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.