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Finding the Fourth Proportional to 14,608.98, 21,918.94 and 7,584.61

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Solution

The fourth proportional to 14,608.98, 21,918.94 and 7,584.61 is: 11,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.98 : 21,918.94 = 7,584.61 : x
  2. Step 2: Convert to fraction form
    14,608.98/21,918.94 = 7,584.61/x
  3. Step 3: Cross multiply
    14,608.98x = 21,918.94 × 7,584.61
  4. Step 4: Simplify right side
    14,608.98x = 166,246,464.00
  5. Step 5: Solve for x
    x = 166,246,464.00/14,608.98
  6. Step 6: Final answer
    x = 11,379.75

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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.