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Finding the Fourth Proportional to 13,705.97, 18,917.89 and 7,741.13

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Solution

The fourth proportional to 13,705.97, 18,917.89 and 7,741.13 is: 10,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.97 : 18,917.89 = 7,741.13 : x
  2. Step 2: Convert to fraction form
    13,705.97/18,917.89 = 7,741.13/x
  3. Step 3: Cross multiply
    13,705.97x = 18,917.89 × 7,741.13
  4. Step 4: Simplify right side
    13,705.97x = 146,445,731.87
  5. Step 5: Solve for x
    x = 146,445,731.87/13,705.97
  6. Step 6: Final answer
    x = 10,684.82

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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.