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Finding the Fourth Proportional to 30,209.08, 41,687.68 and 16,780

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Solution

The fourth proportional to 30,209.08, 41,687.68 and 16,780 is: 23,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.08 : 41,687.68 = 16,780 : x
  2. Step 2: Convert to fraction form
    30,209.08/41,687.68 = 16,780/x
  3. Step 3: Cross multiply
    30,209.08x = 41,687.68 × 16,780
  4. Step 4: Simplify right side
    30,209.08x = 699,519,270.40
  5. Step 5: Solve for x
    x = 699,519,270.40/30,209.08
  6. Step 6: Final answer
    x = 23,155.93

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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.