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Finding the Fourth Proportional to 12,436.65, 17,162.55 and 6,771.31

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Solution

The fourth proportional to 12,436.65, 17,162.55 and 6,771.31 is: 9,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.65 : 17,162.55 = 6,771.31 : x
  2. Step 2: Convert to fraction form
    12,436.65/17,162.55 = 6,771.31/x
  3. Step 3: Cross multiply
    12,436.65x = 17,162.55 × 6,771.31
  4. Step 4: Simplify right side
    12,436.65x = 116,212,903.53
  5. Step 5: Solve for x
    x = 116,212,903.53/12,436.65
  6. Step 6: Final answer
    x = 9,344.39

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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.