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Finding the Fourth Proportional to 30,209.84, 41,689.52 and 16,781.04

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Solution

The fourth proportional to 30,209.84, 41,689.52 and 16,781.04 is: 23,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.84 : 41,689.52 = 16,781.04 : x
  2. Step 2: Convert to fraction form
    30,209.84/41,689.52 = 16,781.04/x
  3. Step 3: Cross multiply
    30,209.84x = 41,689.52 × 16,781.04
  4. Step 4: Simplify right side
    30,209.84x = 699,593,502.70
  5. Step 5: Solve for x
    x = 699,593,502.70/30,209.84
  6. Step 6: Final answer
    x = 23,157.80

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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.