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Finding the Fourth Proportional to 28,273.18, 42,380.24 and 9,546.76

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Solution

The fourth proportional to 28,273.18, 42,380.24 and 9,546.76 is: 14,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,273.18 : 42,380.24 = 9,546.76 : x
  2. Step 2: Convert to fraction form
    28,273.18/42,380.24 = 9,546.76/x
  3. Step 3: Cross multiply
    28,273.18x = 42,380.24 × 9,546.76
  4. Step 4: Simplify right side
    28,273.18x = 404,593,980.02
  5. Step 5: Solve for x
    x = 404,593,980.02/28,273.18
  6. Step 6: Final answer
    x = 14,310.17

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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.