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Finding the Fourth Proportional to 34,382.13, 51,573.24 and 9,422.40

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Solution

The fourth proportional to 34,382.13, 51,573.24 and 9,422.40 is: 14,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382.13 : 51,573.24 = 9,422.40 : x
  2. Step 2: Convert to fraction form
    34,382.13/51,573.24 = 9,422.40/x
  3. Step 3: Cross multiply
    34,382.13x = 51,573.24 × 9,422.40
  4. Step 4: Simplify right side
    34,382.13x = 485,943,696.58
  5. Step 5: Solve for x
    x = 485,943,696.58/34,382.13
  6. Step 6: Final answer
    x = 14,133.61

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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.