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Finding the Fourth Proportional to 11,769.50, 16,267.73 and 10,342.46

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Solution

The fourth proportional to 11,769.50, 16,267.73 and 10,342.46 is: 14,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.50 : 16,267.73 = 10,342.46 : x
  2. Step 2: Convert to fraction form
    11,769.50/16,267.73 = 10,342.46/x
  3. Step 3: Cross multiply
    11,769.50x = 16,267.73 × 10,342.46
  4. Step 4: Simplify right side
    11,769.50x = 168,248,213.76
  5. Step 5: Solve for x
    x = 168,248,213.76/11,769.50
  6. Step 6: Final answer
    x = 14,295.28

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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.