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Finding the Fourth Proportional to 16,865.45, 23,273.68 and 9,311.61

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Solution

The fourth proportional to 16,865.45, 23,273.68 and 9,311.61 is: 12,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.45 : 23,273.68 = 9,311.61 : x
  2. Step 2: Convert to fraction form
    16,865.45/23,273.68 = 9,311.61/x
  3. Step 3: Cross multiply
    16,865.45x = 23,273.68 × 9,311.61
  4. Step 4: Simplify right side
    16,865.45x = 216,715,443.06
  5. Step 5: Solve for x
    x = 216,715,443.06/16,865.45
  6. Step 6: Final answer
    x = 12,849.67

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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.