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Finding the Fourth Proportional to 26,677.86, 40,021.11 and 8,209.86

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Solution

The fourth proportional to 26,677.86, 40,021.11 and 8,209.86 is: 12,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,677.86 : 40,021.11 = 8,209.86 : x
  2. Step 2: Convert to fraction form
    26,677.86/40,021.11 = 8,209.86/x
  3. Step 3: Cross multiply
    26,677.86x = 40,021.11 × 8,209.86
  4. Step 4: Simplify right side
    26,677.86x = 328,567,710.14
  5. Step 5: Solve for x
    x = 328,567,710.14/26,677.86
  6. Step 6: Final answer
    x = 12,316.12

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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.