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Finding the Fourth Proportional to 28,142.73, 42,216.26 and 9,422.82

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Solution

The fourth proportional to 28,142.73, 42,216.26 and 9,422.82 is: 14,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.73 : 42,216.26 = 9,422.82 : x
  2. Step 2: Convert to fraction form
    28,142.73/42,216.26 = 9,422.82/x
  3. Step 3: Cross multiply
    28,142.73x = 42,216.26 × 9,422.82
  4. Step 4: Simplify right side
    28,142.73x = 397,796,171.94
  5. Step 5: Solve for x
    x = 397,796,171.94/28,142.73
  6. Step 6: Final answer
    x = 14,134.95

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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.