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Finding the Fourth Proportional to 29,974.54, 41,368.96 and 17,399.28

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Solution

The fourth proportional to 29,974.54, 41,368.96 and 17,399.28 is: 24,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.54 : 41,368.96 = 17,399.28 : x
  2. Step 2: Convert to fraction form
    29,974.54/41,368.96 = 17,399.28/x
  3. Step 3: Cross multiply
    29,974.54x = 41,368.96 × 17,399.28
  4. Step 4: Simplify right side
    29,974.54x = 719,790,118.35
  5. Step 5: Solve for x
    x = 719,790,118.35/29,974.54
  6. Step 6: Final answer
    x = 24,013.38

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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.