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Finding the Fourth Proportional to 25,311.80, 37,967.16 and 7,781.24

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Solution

The fourth proportional to 25,311.80, 37,967.16 and 7,781.24 is: 11,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,311.80 : 37,967.16 = 7,781.24 : x
  2. Step 2: Convert to fraction form
    25,311.80/37,967.16 = 7,781.24/x
  3. Step 3: Cross multiply
    25,311.80x = 37,967.16 × 7,781.24
  4. Step 4: Simplify right side
    25,311.80x = 295,431,584.08
  5. Step 5: Solve for x
    x = 295,431,584.08/25,311.80
  6. Step 6: Final answer
    x = 11,671.69

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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.