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Finding the Fourth Proportional to 17,284.38, 23,851.02 and 9,728.29

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Solution

The fourth proportional to 17,284.38, 23,851.02 and 9,728.29 is: 13,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.38 : 23,851.02 = 9,728.29 : x
  2. Step 2: Convert to fraction form
    17,284.38/23,851.02 = 9,728.29/x
  3. Step 3: Cross multiply
    17,284.38x = 23,851.02 × 9,728.29
  4. Step 4: Simplify right side
    17,284.38x = 232,029,639.36
  5. Step 5: Solve for x
    x = 232,029,639.36/17,284.38
  6. Step 6: Final answer
    x = 13,424.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.