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Finding the Fourth Proportional to 13,738.99, 18,960.74 and 7,770.66

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Solution

The fourth proportional to 13,738.99, 18,960.74 and 7,770.66 is: 10,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.99 : 18,960.74 = 7,770.66 : x
  2. Step 2: Convert to fraction form
    13,738.99/18,960.74 = 7,770.66/x
  3. Step 3: Cross multiply
    13,738.99x = 18,960.74 × 7,770.66
  4. Step 4: Simplify right side
    13,738.99x = 147,337,463.89
  5. Step 5: Solve for x
    x = 147,337,463.89/13,738.99
  6. Step 6: Final answer
    x = 10,724.04

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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.