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Finding the Fourth Proportional to 16,216.82, 22,381.38 and 9,505.10

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Solution

The fourth proportional to 16,216.82, 22,381.38 and 9,505.10 is: 13,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.82 : 22,381.38 = 9,505.10 : x
  2. Step 2: Convert to fraction form
    16,216.82/22,381.38 = 9,505.10/x
  3. Step 3: Cross multiply
    16,216.82x = 22,381.38 × 9,505.10
  4. Step 4: Simplify right side
    16,216.82x = 212,737,255.04
  5. Step 5: Solve for x
    x = 212,737,255.04/16,216.82
  6. Step 6: Final answer
    x = 13,118.31

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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.