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Finding the Fourth Proportional to 16,284.31, 22,468.68 and 9,914.22

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Solution

The fourth proportional to 16,284.31, 22,468.68 and 9,914.22 is: 13,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.31 : 22,468.68 = 9,914.22 : x
  2. Step 2: Convert to fraction form
    16,284.31/22,468.68 = 9,914.22/x
  3. Step 3: Cross multiply
    16,284.31x = 22,468.68 × 9,914.22
  4. Step 4: Simplify right side
    16,284.31x = 222,759,436.63
  5. Step 5: Solve for x
    x = 222,759,436.63/16,284.31
  6. Step 6: Final answer
    x = 13,679.39

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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.