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Finding the Fourth Proportional to 14,602.25, 21,918.97 and 6,286.39

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Solution

The fourth proportional to 14,602.25, 21,918.97 and 6,286.39 is: 9,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.25 : 21,918.97 = 6,286.39 : x
  2. Step 2: Convert to fraction form
    14,602.25/21,918.97 = 6,286.39/x
  3. Step 3: Cross multiply
    14,602.25x = 21,918.97 × 6,286.39
  4. Step 4: Simplify right side
    14,602.25x = 137,791,193.82
  5. Step 5: Solve for x
    x = 137,791,193.82/14,602.25
  6. Step 6: Final answer
    x = 9,436.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.