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Finding the Fourth Proportional to 14,419.38, 21,612.09 and 6,512.65

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Solution

The fourth proportional to 14,419.38, 21,612.09 and 6,512.65 is: 9,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.38 : 21,612.09 = 6,512.65 : x
  2. Step 2: Convert to fraction form
    14,419.38/21,612.09 = 6,512.65/x
  3. Step 3: Cross multiply
    14,419.38x = 21,612.09 × 6,512.65
  4. Step 4: Simplify right side
    14,419.38x = 140,751,977.94
  5. Step 5: Solve for x
    x = 140,751,977.94/14,419.38
  6. Step 6: Final answer
    x = 9,761.31

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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.