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Finding the Fourth Proportional to 13,502.54, 18,634.56 and 7,453.97

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Solution

The fourth proportional to 13,502.54, 18,634.56 and 7,453.97 is: 10,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.54 : 18,634.56 = 7,453.97 : x
  2. Step 2: Convert to fraction form
    13,502.54/18,634.56 = 7,453.97/x
  3. Step 3: Cross multiply
    13,502.54x = 18,634.56 × 7,453.97
  4. Step 4: Simplify right side
    13,502.54x = 138,901,320.76
  5. Step 5: Solve for x
    x = 138,901,320.76/13,502.54
  6. Step 6: Final answer
    x = 10,287.05

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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.