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Finding the Fourth Proportional to 14,112.29, 21,164.11 and 9,757.73

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Solution

The fourth proportional to 14,112.29, 21,164.11 and 9,757.73 is: 14,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.29 : 21,164.11 = 9,757.73 : x
  2. Step 2: Convert to fraction form
    14,112.29/21,164.11 = 9,757.73/x
  3. Step 3: Cross multiply
    14,112.29x = 21,164.11 × 9,757.73
  4. Step 4: Simplify right side
    14,112.29x = 206,513,671.07
  5. Step 5: Solve for x
    x = 206,513,671.07/14,112.29
  6. Step 6: Final answer
    x = 14,633.60

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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.