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Finding the Fourth Proportional to 14,731.50, 20,329.02 and 10,769.34

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Solution

The fourth proportional to 14,731.50, 20,329.02 and 10,769.34 is: 14,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731.50 : 20,329.02 = 10,769.34 : x
  2. Step 2: Convert to fraction form
    14,731.50/20,329.02 = 10,769.34/x
  3. Step 3: Cross multiply
    14,731.50x = 20,329.02 × 10,769.34
  4. Step 4: Simplify right side
    14,731.50x = 218,930,128.25
  5. Step 5: Solve for x
    x = 218,930,128.25/14,731.50
  6. Step 6: Final answer
    x = 14,861.36

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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.