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Finding the Fourth Proportional to 20,821.84, 28,733.40 and 11,872.22

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Solution

The fourth proportional to 20,821.84, 28,733.40 and 11,872.22 is: 16,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,821.84 : 28,733.40 = 11,872.22 : x
  2. Step 2: Convert to fraction form
    20,821.84/28,733.40 = 11,872.22/x
  3. Step 3: Cross multiply
    20,821.84x = 28,733.40 × 11,872.22
  4. Step 4: Simplify right side
    20,821.84x = 341,129,246.15
  5. Step 5: Solve for x
    x = 341,129,246.15/20,821.84
  6. Step 6: Final answer
    x = 16,383.24

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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.