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Finding the Fourth Proportional to 14,658.31, 20,229.46 and 8,282.69

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Solution

The fourth proportional to 14,658.31, 20,229.46 and 8,282.69 is: 11,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.31 : 20,229.46 = 8,282.69 : x
  2. Step 2: Convert to fraction form
    14,658.31/20,229.46 = 8,282.69/x
  3. Step 3: Cross multiply
    14,658.31x = 20,229.46 × 8,282.69
  4. Step 4: Simplify right side
    14,658.31x = 167,554,346.05
  5. Step 5: Solve for x
    x = 167,554,346.05/14,658.31
  6. Step 6: Final answer
    x = 11,430.67

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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.