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Finding the Fourth Proportional to 13,750.89, 18,976.12 and 7,463.27

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Solution

The fourth proportional to 13,750.89, 18,976.12 and 7,463.27 is: 10,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.89 : 18,976.12 = 7,463.27 : x
  2. Step 2: Convert to fraction form
    13,750.89/18,976.12 = 7,463.27/x
  3. Step 3: Cross multiply
    13,750.89x = 18,976.12 × 7,463.27
  4. Step 4: Simplify right side
    13,750.89x = 141,623,793.57
  5. Step 5: Solve for x
    x = 141,623,793.57/13,750.89
  6. Step 6: Final answer
    x = 10,299.25

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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.