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Finding the Fourth Proportional to 13,669.84, 20,511.24 and 8,134.12

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Solution

The fourth proportional to 13,669.84, 20,511.24 and 8,134.12 is: 12,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.84 : 20,511.24 = 8,134.12 : x
  2. Step 2: Convert to fraction form
    13,669.84/20,511.24 = 8,134.12/x
  3. Step 3: Cross multiply
    13,669.84x = 20,511.24 × 8,134.12
  4. Step 4: Simplify right side
    13,669.84x = 166,840,887.51
  5. Step 5: Solve for x
    x = 166,840,887.51/13,669.84
  6. Step 6: Final answer
    x = 12,205.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.