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Finding the Fourth Proportional to 20,057.87, 27,732.71 and 17,566.74

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Solution

The fourth proportional to 20,057.87, 27,732.71 and 17,566.74 is: 24,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.87 : 27,732.71 = 17,566.74 : x
  2. Step 2: Convert to fraction form
    20,057.87/27,732.71 = 17,566.74/x
  3. Step 3: Cross multiply
    20,057.87x = 27,732.71 × 17,566.74
  4. Step 4: Simplify right side
    20,057.87x = 487,173,218.23
  5. Step 5: Solve for x
    x = 487,173,218.23/20,057.87
  6. Step 6: Final answer
    x = 24,288.38

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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.