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Finding the Fourth Proportional to 20,893.11, 31,339.35 and 8,412.81

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Solution

The fourth proportional to 20,893.11, 31,339.35 and 8,412.81 is: 12,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.11 : 31,339.35 = 8,412.81 : x
  2. Step 2: Convert to fraction form
    20,893.11/31,339.35 = 8,412.81/x
  3. Step 3: Cross multiply
    20,893.11x = 31,339.35 × 8,412.81
  4. Step 4: Simplify right side
    20,893.11x = 263,651,879.55
  5. Step 5: Solve for x
    x = 263,651,879.55/20,893.11
  6. Step 6: Final answer
    x = 12,619.08

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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.