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Finding the Fourth Proportional to 17,786.84, 26,696.46 and 9,473.81

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Solution

The fourth proportional to 17,786.84, 26,696.46 and 9,473.81 is: 14,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.84 : 26,696.46 = 9,473.81 : x
  2. Step 2: Convert to fraction form
    17,786.84/26,696.46 = 9,473.81/x
  3. Step 3: Cross multiply
    17,786.84x = 26,696.46 × 9,473.81
  4. Step 4: Simplify right side
    17,786.84x = 252,917,189.71
  5. Step 5: Solve for x
    x = 252,917,189.71/17,786.84
  6. Step 6: Final answer
    x = 14,219.34

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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.