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Finding the Fourth Proportional to 11,769.80, 17,718.83 and 10,162.76

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Solution

The fourth proportional to 11,769.80, 17,718.83 and 10,162.76 is: 15,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.80 : 17,718.83 = 10,162.76 : x
  2. Step 2: Convert to fraction form
    11,769.80/17,718.83 = 10,162.76/x
  3. Step 3: Cross multiply
    11,769.80x = 17,718.83 × 10,162.76
  4. Step 4: Simplify right side
    11,769.80x = 180,072,216.77
  5. Step 5: Solve for x
    x = 180,072,216.77/11,769.80
  6. Step 6: Final answer
    x = 15,299.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.