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Finding the Fourth Proportional to 30,214.29, 41,694.78 and 16,602.30

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Solution

The fourth proportional to 30,214.29, 41,694.78 and 16,602.30 is: 22,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.29 : 41,694.78 = 16,602.30 : x
  2. Step 2: Convert to fraction form
    30,214.29/41,694.78 = 16,602.30/x
  3. Step 3: Cross multiply
    30,214.29x = 41,694.78 × 16,602.30
  4. Step 4: Simplify right side
    30,214.29x = 692,229,245.99
  5. Step 5: Solve for x
    x = 692,229,245.99/30,214.29
  6. Step 6: Final answer
    x = 22,910.66

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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.