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Finding the Fourth Proportional to 13,636.84, 18,827.94 and 8,049.64

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Solution

The fourth proportional to 13,636.84, 18,827.94 and 8,049.64 is: 11,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.84 : 18,827.94 = 8,049.64 : x
  2. Step 2: Convert to fraction form
    13,636.84/18,827.94 = 8,049.64/x
  3. Step 3: Cross multiply
    13,636.84x = 18,827.94 × 8,049.64
  4. Step 4: Simplify right side
    13,636.84x = 151,558,138.94
  5. Step 5: Solve for x
    x = 151,558,138.94/13,636.84
  6. Step 6: Final answer
    x = 11,113.88

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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.