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Finding the Fourth Proportional to 22,053.58, 30,434.09 and 11,982.11

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Solution

The fourth proportional to 22,053.58, 30,434.09 and 11,982.11 is: 16,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,053.58 : 30,434.09 = 11,982.11 : x
  2. Step 2: Convert to fraction form
    22,053.58/30,434.09 = 11,982.11/x
  3. Step 3: Cross multiply
    22,053.58x = 30,434.09 × 11,982.11
  4. Step 4: Simplify right side
    22,053.58x = 364,664,554.22
  5. Step 5: Solve for x
    x = 364,664,554.22/22,053.58
  6. Step 6: Final answer
    x = 16,535.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.