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Finding the Fourth Proportional to 13,037.68, 17,976.84 and 9,502.48

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Solution

The fourth proportional to 13,037.68, 17,976.84 and 9,502.48 is: 13,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.68 : 17,976.84 = 9,502.48 : x
  2. Step 2: Convert to fraction form
    13,037.68/17,976.84 = 9,502.48/x
  3. Step 3: Cross multiply
    13,037.68x = 17,976.84 × 9,502.48
  4. Step 4: Simplify right side
    13,037.68x = 170,824,562.56
  5. Step 5: Solve for x
    x = 170,824,562.56/13,037.68
  6. Step 6: Final answer
    x = 13,102.37

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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.