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Finding the Fourth Proportional to 13,194.56, 18,208.45 and 7,451.39

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Solution

The fourth proportional to 13,194.56, 18,208.45 and 7,451.39 is: 10,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.56 : 18,208.45 = 7,451.39 : x
  2. Step 2: Convert to fraction form
    13,194.56/18,208.45 = 7,451.39/x
  3. Step 3: Cross multiply
    13,194.56x = 18,208.45 × 7,451.39
  4. Step 4: Simplify right side
    13,194.56x = 135,678,262.25
  5. Step 5: Solve for x
    x = 135,678,262.25/13,194.56
  6. Step 6: Final answer
    x = 10,282.89

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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.