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Finding the Fourth Proportional to 17,382.24, 26,059.32 and 6,984

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Solution

The fourth proportional to 17,382.24, 26,059.32 and 6,984 is: 10,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.24 : 26,059.32 = 6,984 : x
  2. Step 2: Convert to fraction form
    17,382.24/26,059.32 = 6,984/x
  3. Step 3: Cross multiply
    17,382.24x = 26,059.32 × 6,984
  4. Step 4: Simplify right side
    17,382.24x = 181,998,290.88
  5. Step 5: Solve for x
    x = 181,998,290.88/17,382.24
  6. Step 6: Final answer
    x = 10,470.36

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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.