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Finding the Fourth Proportional to 13,741.88, 18,963.66 and 7,454.12

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Solution

The fourth proportional to 13,741.88, 18,963.66 and 7,454.12 is: 10,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.88 : 18,963.66 = 7,454.12 : x
  2. Step 2: Convert to fraction form
    13,741.88/18,963.66 = 7,454.12/x
  3. Step 3: Cross multiply
    13,741.88x = 18,963.66 × 7,454.12
  4. Step 4: Simplify right side
    13,741.88x = 141,357,397.28
  5. Step 5: Solve for x
    x = 141,357,397.28/13,741.88
  6. Step 6: Final answer
    x = 10,286.61

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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.