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Finding the Fourth Proportional to 16,214.39, 22,372.45 and 9,844.34

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Solution

The fourth proportional to 16,214.39, 22,372.45 and 9,844.34 is: 13,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.39 : 22,372.45 = 9,844.34 : x
  2. Step 2: Convert to fraction form
    16,214.39/22,372.45 = 9,844.34/x
  3. Step 3: Cross multiply
    16,214.39x = 22,372.45 × 9,844.34
  4. Step 4: Simplify right side
    16,214.39x = 220,241,923.33
  5. Step 5: Solve for x
    x = 220,241,923.33/16,214.39
  6. Step 6: Final answer
    x = 13,583.11

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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.