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Finding the Fourth Proportional to 17,311.47, 25,945.13 and 8,428.95

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Solution

The fourth proportional to 17,311.47, 25,945.13 and 8,428.95 is: 12,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.47 : 25,945.13 = 8,428.95 : x
  2. Step 2: Convert to fraction form
    17,311.47/25,945.13 = 8,428.95/x
  3. Step 3: Cross multiply
    17,311.47x = 25,945.13 × 8,428.95
  4. Step 4: Simplify right side
    17,311.47x = 218,690,161.37
  5. Step 5: Solve for x
    x = 218,690,161.37/17,311.47
  6. Step 6: Final answer
    x = 12,632.67

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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.