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Finding the Fourth Proportional to 20,805.90, 28,712.10 and 11,854.23

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Solution

The fourth proportional to 20,805.90, 28,712.10 and 11,854.23 is: 16,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.90 : 28,712.10 = 11,854.23 : x
  2. Step 2: Convert to fraction form
    20,805.90/28,712.10 = 11,854.23/x
  3. Step 3: Cross multiply
    20,805.90x = 28,712.10 × 11,854.23
  4. Step 4: Simplify right side
    20,805.90x = 340,359,837.18
  5. Step 5: Solve for x
    x = 340,359,837.18/20,805.90
  6. Step 6: Final answer
    x = 16,358.81

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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.