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Finding the Fourth Proportional to 16,081.56, 22,185.14 and 10,418.21

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Solution

The fourth proportional to 16,081.56, 22,185.14 and 10,418.21 is: 14,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.56 : 22,185.14 = 10,418.21 : x
  2. Step 2: Convert to fraction form
    16,081.56/22,185.14 = 10,418.21/x
  3. Step 3: Cross multiply
    16,081.56x = 22,185.14 × 10,418.21
  4. Step 4: Simplify right side
    16,081.56x = 231,129,284.38
  5. Step 5: Solve for x
    x = 231,129,284.38/16,081.56
  6. Step 6: Final answer
    x = 14,372.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.