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Finding the Fourth Proportional to 30,206.88, 41,685.44 and 16,780.14

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Solution

The fourth proportional to 30,206.88, 41,685.44 and 16,780.14 is: 23,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.88 : 41,685.44 = 16,780.14 : x
  2. Step 2: Convert to fraction form
    30,206.88/41,685.44 = 16,780.14/x
  3. Step 3: Cross multiply
    30,206.88x = 41,685.44 × 16,780.14
  4. Step 4: Simplify right side
    30,206.88x = 699,487,435.26
  5. Step 5: Solve for x
    x = 699,487,435.26/30,206.88
  6. Step 6: Final answer
    x = 23,156.56

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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.