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Finding the Fourth Proportional to 20,073.52, 27,638.08 and 17,682

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Solution

The fourth proportional to 20,073.52, 27,638.08 and 17,682 is: 24,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.52 : 27,638.08 = 17,682 : x
  2. Step 2: Convert to fraction form
    20,073.52/27,638.08 = 17,682/x
  3. Step 3: Cross multiply
    20,073.52x = 27,638.08 × 17,682
  4. Step 4: Simplify right side
    20,073.52x = 488,696,530.56
  5. Step 5: Solve for x
    x = 488,696,530.56/20,073.52
  6. Step 6: Final answer
    x = 24,345.33

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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.