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Finding the Fourth Proportional to 13,671.68, 18,865.92 and 7,703.04

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Solution

The fourth proportional to 13,671.68, 18,865.92 and 7,703.04 is: 10,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.68 : 18,865.92 = 7,703.04 : x
  2. Step 2: Convert to fraction form
    13,671.68/18,865.92 = 7,703.04/x
  3. Step 3: Cross multiply
    13,671.68x = 18,865.92 × 7,703.04
  4. Step 4: Simplify right side
    13,671.68x = 145,324,936.40
  5. Step 5: Solve for x
    x = 145,324,936.40/13,671.68
  6. Step 6: Final answer
    x = 10,629.63

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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.