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Finding the Fourth Proportional to 20,991.52, 31,478.37 and 8,514.28

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Solution

The fourth proportional to 20,991.52, 31,478.37 and 8,514.28 is: 12,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.52 : 31,478.37 = 8,514.28 : x
  2. Step 2: Convert to fraction form
    20,991.52/31,478.37 = 8,514.28/x
  3. Step 3: Cross multiply
    20,991.52x = 31,478.37 × 8,514.28
  4. Step 4: Simplify right side
    20,991.52x = 268,015,656.12
  5. Step 5: Solve for x
    x = 268,015,656.12/20,991.52
  6. Step 6: Final answer
    x = 12,767.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.