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Finding the Fourth Proportional to 23,993.25, 33,101.76 and 13,916.04

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Solution

The fourth proportional to 23,993.25, 33,101.76 and 13,916.04 is: 19,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,993.25 : 33,101.76 = 13,916.04 : x
  2. Step 2: Convert to fraction form
    23,993.25/33,101.76 = 13,916.04/x
  3. Step 3: Cross multiply
    23,993.25x = 33,101.76 × 13,916.04
  4. Step 4: Simplify right side
    23,993.25x = 460,645,416.23
  5. Step 5: Solve for x
    x = 460,645,416.23/23,993.25
  6. Step 6: Final answer
    x = 19,198.96

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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.