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Finding the Fourth Proportional to 11,803.97, 17,708.39 and 9,869.69

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Solution

The fourth proportional to 11,803.97, 17,708.39 and 9,869.69 is: 14,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.97 : 17,708.39 = 9,869.69 : x
  2. Step 2: Convert to fraction form
    11,803.97/17,708.39 = 9,869.69/x
  3. Step 3: Cross multiply
    11,803.97x = 17,708.39 × 9,869.69
  4. Step 4: Simplify right side
    11,803.97x = 174,776,319.70
  5. Step 5: Solve for x
    x = 174,776,319.70/11,803.97
  6. Step 6: Final answer
    x = 14,806.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.