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Finding the Fourth Proportional to 14,309.52, 21,447.69 and 5,419.20

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Solution

The fourth proportional to 14,309.52, 21,447.69 and 5,419.20 is: 8,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.52 : 21,447.69 = 5,419.20 : x
  2. Step 2: Convert to fraction form
    14,309.52/21,447.69 = 5,419.20/x
  3. Step 3: Cross multiply
    14,309.52x = 21,447.69 × 5,419.20
  4. Step 4: Simplify right side
    14,309.52x = 116,229,321.65
  5. Step 5: Solve for x
    x = 116,229,321.65/14,309.52
  6. Step 6: Final answer
    x = 8,122.52

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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.