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Finding the Fourth Proportional to 13,917.17, 19,205.66 and 7,629.59

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Solution

The fourth proportional to 13,917.17, 19,205.66 and 7,629.59 is: 10,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.17 : 19,205.66 = 7,629.59 : x
  2. Step 2: Convert to fraction form
    13,917.17/19,205.66 = 7,629.59/x
  3. Step 3: Cross multiply
    13,917.17x = 19,205.66 × 7,629.59
  4. Step 4: Simplify right side
    13,917.17x = 146,531,215.45
  5. Step 5: Solve for x
    x = 146,531,215.45/13,917.17
  6. Step 6: Final answer
    x = 10,528.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.