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Finding the Fourth Proportional to 13,741.26, 18,963.06 and 7,453.76

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Solution

The fourth proportional to 13,741.26, 18,963.06 and 7,453.76 is: 10,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.26 : 18,963.06 = 7,453.76 : x
  2. Step 2: Convert to fraction form
    13,741.26/18,963.06 = 7,453.76/x
  3. Step 3: Cross multiply
    13,741.26x = 18,963.06 × 7,453.76
  4. Step 4: Simplify right side
    13,741.26x = 141,346,098.11
  5. Step 5: Solve for x
    x = 141,346,098.11/13,741.26
  6. Step 6: Final answer
    x = 10,286.25

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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.