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Finding the Fourth Proportional to 14,729.01, 22,086.13 and 6,824.73

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Solution

The fourth proportional to 14,729.01, 22,086.13 and 6,824.73 is: 10,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729.01 : 22,086.13 = 6,824.73 : x
  2. Step 2: Convert to fraction form
    14,729.01/22,086.13 = 6,824.73/x
  3. Step 3: Cross multiply
    14,729.01x = 22,086.13 × 6,824.73
  4. Step 4: Simplify right side
    14,729.01x = 150,731,873.99
  5. Step 5: Solve for x
    x = 150,731,873.99/14,729.01
  6. Step 6: Final answer
    x = 10,233.67

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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.