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Finding the Fourth Proportional to 13,039.94, 17,982.09 and 8,322.50

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Solution

The fourth proportional to 13,039.94, 17,982.09 and 8,322.50 is: 11,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.94 : 17,982.09 = 8,322.50 : x
  2. Step 2: Convert to fraction form
    13,039.94/17,982.09 = 8,322.50/x
  3. Step 3: Cross multiply
    13,039.94x = 17,982.09 × 8,322.50
  4. Step 4: Simplify right side
    13,039.94x = 149,655,944.03
  5. Step 5: Solve for x
    x = 149,655,944.03/13,039.94
  6. Step 6: Final answer
    x = 11,476.74

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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.