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Finding the Fourth Proportional to 20,216.88, 27,898.56 and 11,833.20

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Solution

The fourth proportional to 20,216.88, 27,898.56 and 11,833.20 is: 16,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.88 : 27,898.56 = 11,833.20 : x
  2. Step 2: Convert to fraction form
    20,216.88/27,898.56 = 11,833.20/x
  3. Step 3: Cross multiply
    20,216.88x = 27,898.56 × 11,833.20
  4. Step 4: Simplify right side
    20,216.88x = 330,129,240.19
  5. Step 5: Solve for x
    x = 330,129,240.19/20,216.88
  6. Step 6: Final answer
    x = 16,329.39

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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.