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Finding the Fourth Proportional to 16,213.14, 22,373.67 and 9,042.78

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Solution

The fourth proportional to 16,213.14, 22,373.67 and 9,042.78 is: 12,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.14 : 22,373.67 = 9,042.78 : x
  2. Step 2: Convert to fraction form
    16,213.14/22,373.67 = 9,042.78/x
  3. Step 3: Cross multiply
    16,213.14x = 22,373.67 × 9,042.78
  4. Step 4: Simplify right side
    16,213.14x = 202,320,175.60
  5. Step 5: Solve for x
    x = 202,320,175.60/16,213.14
  6. Step 6: Final answer
    x = 12,478.78

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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.