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Finding the Fourth Proportional to 26,180.86, 39,271.40 and 9,540.90

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Solution

The fourth proportional to 26,180.86, 39,271.40 and 9,540.90 is: 14,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,180.86 : 39,271.40 = 9,540.90 : x
  2. Step 2: Convert to fraction form
    26,180.86/39,271.40 = 9,540.90/x
  3. Step 3: Cross multiply
    26,180.86x = 39,271.40 × 9,540.90
  4. Step 4: Simplify right side
    26,180.86x = 374,684,500.26
  5. Step 5: Solve for x
    x = 374,684,500.26/26,180.86
  6. Step 6: Final answer
    x = 14,311.39

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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.