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Finding the Fourth Proportional to 25,781.86, 38,674.29 and 8,014.24

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Solution

The fourth proportional to 25,781.86, 38,674.29 and 8,014.24 is: 12,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.86 : 38,674.29 = 8,014.24 : x
  2. Step 2: Convert to fraction form
    25,781.86/38,674.29 = 8,014.24/x
  3. Step 3: Cross multiply
    25,781.86x = 38,674.29 × 8,014.24
  4. Step 4: Simplify right side
    25,781.86x = 309,945,041.89
  5. Step 5: Solve for x
    x = 309,945,041.89/25,781.86
  6. Step 6: Final answer
    x = 12,021.83

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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.