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Finding the Fourth Proportional to 30,209.39, 41,689.50 and 16,781.87

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Solution

The fourth proportional to 30,209.39, 41,689.50 and 16,781.87 is: 23,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.39 : 41,689.50 = 16,781.87 : x
  2. Step 2: Convert to fraction form
    30,209.39/41,689.50 = 16,781.87/x
  3. Step 3: Cross multiply
    30,209.39x = 41,689.50 × 16,781.87
  4. Step 4: Simplify right side
    30,209.39x = 699,627,769.37
  5. Step 5: Solve for x
    x = 699,627,769.37/30,209.39
  6. Step 6: Final answer
    x = 23,159.28

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