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Finding the Fourth Proportional to 13,507.31, 18,640.04 and 7,538.97

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Solution

The fourth proportional to 13,507.31, 18,640.04 and 7,538.97 is: 10,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.31 : 18,640.04 = 7,538.97 : x
  2. Step 2: Convert to fraction form
    13,507.31/18,640.04 = 7,538.97/x
  3. Step 3: Cross multiply
    13,507.31x = 18,640.04 × 7,538.97
  4. Step 4: Simplify right side
    13,507.31x = 140,526,721.21
  5. Step 5: Solve for x
    x = 140,526,721.21/13,507.31
  6. Step 6: Final answer
    x = 10,403.76

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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.