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Finding the Fourth Proportional to 12,408.80, 17,133.09 and 7,635.17

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Solution

The fourth proportional to 12,408.80, 17,133.09 and 7,635.17 is: 10,542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.80 : 17,133.09 = 7,635.17 : x
  2. Step 2: Convert to fraction form
    12,408.80/17,133.09 = 7,635.17/x
  3. Step 3: Cross multiply
    12,408.80x = 17,133.09 × 7,635.17
  4. Step 4: Simplify right side
    12,408.80x = 130,813,969.11
  5. Step 5: Solve for x
    x = 130,813,969.11/12,408.80
  6. Step 6: Final answer
    x = 10,542.04

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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.