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Finding the Fourth Proportional to 11,841.30, 17,744.99 and 8,696.61

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Solution

The fourth proportional to 11,841.30, 17,744.99 and 8,696.61 is: 13,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.30 : 17,744.99 = 8,696.61 : x
  2. Step 2: Convert to fraction form
    11,841.30/17,744.99 = 8,696.61/x
  3. Step 3: Cross multiply
    11,841.30x = 17,744.99 × 8,696.61
  4. Step 4: Simplify right side
    11,841.30x = 154,321,214.00
  5. Step 5: Solve for x
    x = 154,321,214.00/11,841.30
  6. Step 6: Final answer
    x = 13,032.46

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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.