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Finding the Fourth Proportional to 26,089.86, 39,137.87 and 8,314.35

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Solution

The fourth proportional to 26,089.86, 39,137.87 and 8,314.35 is: 12,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,089.86 : 39,137.87 = 8,314.35 : x
  2. Step 2: Convert to fraction form
    26,089.86/39,137.87 = 8,314.35/x
  3. Step 3: Cross multiply
    26,089.86x = 39,137.87 × 8,314.35
  4. Step 4: Simplify right side
    26,089.86x = 325,405,949.43
  5. Step 5: Solve for x
    x = 325,405,949.43/26,089.86
  6. Step 6: Final answer
    x = 12,472.51

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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.