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Finding the Fourth Proportional to 22,041, 30,416.82 and 12,105

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Solution

The fourth proportional to 22,041, 30,416.82 and 12,105 is: 16,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,041 : 30,416.82 = 12,105 : x
  2. Step 2: Convert to fraction form
    22,041/30,416.82 = 12,105/x
  3. Step 3: Cross multiply
    22,041x = 30,416.82 × 12,105
  4. Step 4: Simplify right side
    22,041x = 368,195,606.10
  5. Step 5: Solve for x
    x = 368,195,606.10/22,041
  6. Step 6: Final answer
    x = 16,705.03

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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.