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Finding the Fourth Proportional to 22,709.60, 31,338.96 and 12,638

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Solution

The fourth proportional to 22,709.60, 31,338.96 and 12,638 is: 17,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.60 : 31,338.96 = 12,638 : x
  2. Step 2: Convert to fraction form
    22,709.60/31,338.96 = 12,638/x
  3. Step 3: Cross multiply
    22,709.60x = 31,338.96 × 12,638
  4. Step 4: Simplify right side
    22,709.60x = 396,061,776.48
  5. Step 5: Solve for x
    x = 396,061,776.48/22,709.60
  6. Step 6: Final answer
    x = 17,440.28

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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.