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Finding the Fourth Proportional to 20,854.28, 28,775.22 and 11,900.36

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Solution

The fourth proportional to 20,854.28, 28,775.22 and 11,900.36 is: 16,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.28 : 28,775.22 = 11,900.36 : x
  2. Step 2: Convert to fraction form
    20,854.28/28,775.22 = 11,900.36/x
  3. Step 3: Cross multiply
    20,854.28x = 28,775.22 × 11,900.36
  4. Step 4: Simplify right side
    20,854.28x = 342,435,477.08
  5. Step 5: Solve for x
    x = 342,435,477.08/20,854.28
  6. Step 6: Final answer
    x = 16,420.39

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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.