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Finding the Fourth Proportional to 14,404, 21,608.16 and 5,172.16

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Solution

The fourth proportional to 14,404, 21,608.16 and 5,172.16 is: 7,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404 : 21,608.16 = 5,172.16 : x
  2. Step 2: Convert to fraction form
    14,404/21,608.16 = 5,172.16/x
  3. Step 3: Cross multiply
    14,404x = 21,608.16 × 5,172.16
  4. Step 4: Simplify right side
    14,404x = 111,760,860.83
  5. Step 5: Solve for x
    x = 111,760,860.83/14,404
  6. Step 6: Final answer
    x = 7,759.02

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