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Finding the Fourth Proportional to 21,770.10, 30,042.41 and 12,209.99

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Solution

The fourth proportional to 21,770.10, 30,042.41 and 12,209.99 is: 16,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.10 : 30,042.41 = 12,209.99 : x
  2. Step 2: Convert to fraction form
    21,770.10/30,042.41 = 12,209.99/x
  3. Step 3: Cross multiply
    21,770.10x = 30,042.41 × 12,209.99
  4. Step 4: Simplify right side
    21,770.10x = 366,817,314.41
  5. Step 5: Solve for x
    x = 366,817,314.41/21,770.10
  6. Step 6: Final answer
    x = 16,849.59

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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.