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Finding the Fourth Proportional to 29,984.63, 41,382.44 and 17,409.38

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Solution

The fourth proportional to 29,984.63, 41,382.44 and 17,409.38 is: 24,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,984.63 : 41,382.44 = 17,409.38 : x
  2. Step 2: Convert to fraction form
    29,984.63/41,382.44 = 17,409.38/x
  3. Step 3: Cross multiply
    29,984.63x = 41,382.44 × 17,409.38
  4. Step 4: Simplify right side
    29,984.63x = 720,442,329.33
  5. Step 5: Solve for x
    x = 720,442,329.33/29,984.63
  6. Step 6: Final answer
    x = 24,027.06

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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.