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Finding the Fourth Proportional to 14,760.50, 20,369.49 and 9,171.50

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Solution

The fourth proportional to 14,760.50, 20,369.49 and 9,171.50 is: 12,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,760.50 : 20,369.49 = 9,171.50 : x
  2. Step 2: Convert to fraction form
    14,760.50/20,369.49 = 9,171.50/x
  3. Step 3: Cross multiply
    14,760.50x = 20,369.49 × 9,171.50
  4. Step 4: Simplify right side
    14,760.50x = 186,818,777.54
  5. Step 5: Solve for x
    x = 186,818,777.54/14,760.50
  6. Step 6: Final answer
    x = 12,656.67

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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.