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Finding the Fourth Proportional to 34,382.56, 51,573.87 and 9,422.80

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Solution

The fourth proportional to 34,382.56, 51,573.87 and 9,422.80 is: 14,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382.56 : 51,573.87 = 9,422.80 : x
  2. Step 2: Convert to fraction form
    34,382.56/51,573.87 = 9,422.80/x
  3. Step 3: Cross multiply
    34,382.56x = 51,573.87 × 9,422.80
  4. Step 4: Simplify right side
    34,382.56x = 485,970,262.24
  5. Step 5: Solve for x
    x = 485,970,262.24/34,382.56
  6. Step 6: Final answer
    x = 14,134.21

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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.