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Finding the Fourth Proportional to 17,287.05, 25,913.73 and 9,382.41

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Solution

The fourth proportional to 17,287.05, 25,913.73 and 9,382.41 is: 14,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.05 : 25,913.73 = 9,382.41 : x
  2. Step 2: Convert to fraction form
    17,287.05/25,913.73 = 9,382.41/x
  3. Step 3: Cross multiply
    17,287.05x = 25,913.73 × 9,382.41
  4. Step 4: Simplify right side
    17,287.05x = 243,133,239.49
  5. Step 5: Solve for x
    x = 243,133,239.49/17,287.05
  6. Step 6: Final answer
    x = 14,064.47

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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.