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Finding the Fourth Proportional to 30,227.50, 41,713.90 and 16,800.06

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Solution

The fourth proportional to 30,227.50, 41,713.90 and 16,800.06 is: 23,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.50 : 41,713.90 = 16,800.06 : x
  2. Step 2: Convert to fraction form
    30,227.50/41,713.90 = 16,800.06/x
  3. Step 3: Cross multiply
    30,227.50x = 41,713.90 × 16,800.06
  4. Step 4: Simplify right side
    30,227.50x = 700,796,022.83
  5. Step 5: Solve for x
    x = 700,796,022.83/30,227.50
  6. Step 6: Final answer
    x = 23,184.06

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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.