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Finding the Fourth Proportional to 17,283.54, 25,935.39 and 7,287.68

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Solution

The fourth proportional to 17,283.54, 25,935.39 and 7,287.68 is: 10,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.54 : 25,935.39 = 7,287.68 : x
  2. Step 2: Convert to fraction form
    17,283.54/25,935.39 = 7,287.68/x
  3. Step 3: Cross multiply
    17,283.54x = 25,935.39 × 7,287.68
  4. Step 4: Simplify right side
    17,283.54x = 189,008,693.32
  5. Step 5: Solve for x
    x = 189,008,693.32/17,283.54
  6. Step 6: Final answer
    x = 10,935.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.