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Finding the Fourth Proportional to 17,204.28, 25,807.62 and 6,816

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Solution

The fourth proportional to 17,204.28, 25,807.62 and 6,816 is: 10,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.28 : 25,807.62 = 6,816 : x
  2. Step 2: Convert to fraction form
    17,204.28/25,807.62 = 6,816/x
  3. Step 3: Cross multiply
    17,204.28x = 25,807.62 × 6,816
  4. Step 4: Simplify right side
    17,204.28x = 175,904,737.92
  5. Step 5: Solve for x
    x = 175,904,737.92/17,204.28
  6. Step 6: Final answer
    x = 10,224.48

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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.