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Finding the Fourth Proportional to 22,549.68, 33,824.49 and 12,696.03

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Solution

The fourth proportional to 22,549.68, 33,824.49 and 12,696.03 is: 19,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.68 : 33,824.49 = 12,696.03 : x
  2. Step 2: Convert to fraction form
    22,549.68/33,824.49 = 12,696.03/x
  3. Step 3: Cross multiply
    22,549.68x = 33,824.49 × 12,696.03
  4. Step 4: Simplify right side
    22,549.68x = 429,436,739.77
  5. Step 5: Solve for x
    x = 429,436,739.77/22,549.68
  6. Step 6: Final answer
    x = 19,044.03

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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.