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Finding the Fourth Proportional to 28,546.53, 42,821 and 8,825.46

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Solution

The fourth proportional to 28,546.53, 42,821 and 8,825.46 is: 13,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,546.53 : 42,821 = 8,825.46 : x
  2. Step 2: Convert to fraction form
    28,546.53/42,821 = 8,825.46/x
  3. Step 3: Cross multiply
    28,546.53x = 42,821 × 8,825.46
  4. Step 4: Simplify right side
    28,546.53x = 377,915,022.66
  5. Step 5: Solve for x
    x = 377,915,022.66/28,546.53
  6. Step 6: Final answer
    x = 13,238.56

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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.