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Finding the Fourth Proportional to 20,808.57, 28,712.95 and 11,854.33

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Solution

The fourth proportional to 20,808.57, 28,712.95 and 11,854.33 is: 16,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.57 : 28,712.95 = 11,854.33 : x
  2. Step 2: Convert to fraction form
    20,808.57/28,712.95 = 11,854.33/x
  3. Step 3: Cross multiply
    20,808.57x = 28,712.95 × 11,854.33
  4. Step 4: Simplify right side
    20,808.57x = 340,372,784.57
  5. Step 5: Solve for x
    x = 340,372,784.57/20,808.57
  6. Step 6: Final answer
    x = 16,357.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.