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Finding the Fourth Proportional to 20,969.20, 28,922.38 and 12,013.44

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Solution

The fourth proportional to 20,969.20, 28,922.38 and 12,013.44 is: 16,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.20 : 28,922.38 = 12,013.44 : x
  2. Step 2: Convert to fraction form
    20,969.20/28,922.38 = 12,013.44/x
  3. Step 3: Cross multiply
    20,969.20x = 28,922.38 × 12,013.44
  4. Step 4: Simplify right side
    20,969.20x = 347,457,276.79
  5. Step 5: Solve for x
    x = 347,457,276.79/20,969.20
  6. Step 6: Final answer
    x = 16,569.89

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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.