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Finding the Fourth Proportional to 11,662.98, 17,479.88 and 9,188.02

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Solution

The fourth proportional to 11,662.98, 17,479.88 and 9,188.02 is: 13,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.98 : 17,479.88 = 9,188.02 : x
  2. Step 2: Convert to fraction form
    11,662.98/17,479.88 = 9,188.02/x
  3. Step 3: Cross multiply
    11,662.98x = 17,479.88 × 9,188.02
  4. Step 4: Simplify right side
    11,662.98x = 160,605,487.04
  5. Step 5: Solve for x
    x = 160,605,487.04/11,662.98
  6. Step 6: Final answer
    x = 13,770.54

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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.