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Finding the Fourth Proportional to 17,694.20, 26,541.30 and 7,828.40

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Solution

The fourth proportional to 17,694.20, 26,541.30 and 7,828.40 is: 11,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,694.20 : 26,541.30 = 7,828.40 : x
  2. Step 2: Convert to fraction form
    17,694.20/26,541.30 = 7,828.40/x
  3. Step 3: Cross multiply
    17,694.20x = 26,541.30 × 7,828.40
  4. Step 4: Simplify right side
    17,694.20x = 207,775,912.92
  5. Step 5: Solve for x
    x = 207,775,912.92/17,694.20
  6. Step 6: Final answer
    x = 11,742.60

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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.