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Finding the Fourth Proportional to 13,125.50, 19,691.49 and 3,891.50

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Solution

The fourth proportional to 13,125.50, 19,691.49 and 3,891.50 is: 5,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.50 : 19,691.49 = 3,891.50 : x
  2. Step 2: Convert to fraction form
    13,125.50/19,691.49 = 3,891.50/x
  3. Step 3: Cross multiply
    13,125.50x = 19,691.49 × 3,891.50
  4. Step 4: Simplify right side
    13,125.50x = 76,629,433.34
  5. Step 5: Solve for x
    x = 76,629,433.34/13,125.50
  6. Step 6: Final answer
    x = 5,838.21

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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.