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Finding the Fourth Proportional to 20,138, 27,790.44 and 11,752.88

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Solution

The fourth proportional to 20,138, 27,790.44 and 11,752.88 is: 16,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 27,790.44 = 11,752.88 : x
  2. Step 2: Convert to fraction form
    20,138/27,790.44 = 11,752.88/x
  3. Step 3: Cross multiply
    20,138x = 27,790.44 × 11,752.88
  4. Step 4: Simplify right side
    20,138x = 326,617,706.47
  5. Step 5: Solve for x
    x = 326,617,706.47/20,138
  6. Step 6: Final answer
    x = 16,218.97

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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.