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Finding the Fourth Proportional to 30,213, 41,694.75 and 16,784.82

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Solution

The fourth proportional to 30,213, 41,694.75 and 16,784.82 is: 23,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213 : 41,694.75 = 16,784.82 : x
  2. Step 2: Convert to fraction form
    30,213/41,694.75 = 16,784.82/x
  3. Step 3: Cross multiply
    30,213x = 41,694.75 × 16,784.82
  4. Step 4: Simplify right side
    30,213x = 699,838,873.70
  5. Step 5: Solve for x
    x = 699,838,873.70/30,213
  6. Step 6: Final answer
    x = 23,163.50

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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.