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Finding the Fourth Proportional to 10,662.24, 14,711.05 and 10,241.85

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Solution

The fourth proportional to 10,662.24, 14,711.05 and 10,241.85 is: 14,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.24 : 14,711.05 = 10,241.85 : x
  2. Step 2: Convert to fraction form
    10,662.24/14,711.05 = 10,241.85/x
  3. Step 3: Cross multiply
    10,662.24x = 14,711.05 × 10,241.85
  4. Step 4: Simplify right side
    10,662.24x = 150,668,367.44
  5. Step 5: Solve for x
    x = 150,668,367.44/10,662.24
  6. Step 6: Final answer
    x = 14,131.02

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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.