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Finding the Fourth Proportional to 20,648.20, 28,493.67 and 11,216.56

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Solution

The fourth proportional to 20,648.20, 28,493.67 and 11,216.56 is: 15,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.20 : 28,493.67 = 11,216.56 : x
  2. Step 2: Convert to fraction form
    20,648.20/28,493.67 = 11,216.56/x
  3. Step 3: Cross multiply
    20,648.20x = 28,493.67 × 11,216.56
  4. Step 4: Simplify right side
    20,648.20x = 319,600,959.18
  5. Step 5: Solve for x
    x = 319,600,959.18/20,648.20
  6. Step 6: Final answer
    x = 15,478.39

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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.