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Finding the Fourth Proportional to 13,731.84, 18,951.84 and 10,189.44

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Solution

The fourth proportional to 13,731.84, 18,951.84 and 10,189.44 is: 14,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.84 : 18,951.84 = 10,189.44 : x
  2. Step 2: Convert to fraction form
    13,731.84/18,951.84 = 10,189.44/x
  3. Step 3: Cross multiply
    13,731.84x = 18,951.84 × 10,189.44
  4. Step 4: Simplify right side
    13,731.84x = 193,108,636.57
  5. Step 5: Solve for x
    x = 193,108,636.57/13,731.84
  6. Step 6: Final answer
    x = 14,062.84

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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.