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Finding the Fourth Proportional to 25,175.76, 37,740.03 and 8,524.14

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Solution

The fourth proportional to 25,175.76, 37,740.03 and 8,524.14 is: 12,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.76 : 37,740.03 = 8,524.14 : x
  2. Step 2: Convert to fraction form
    25,175.76/37,740.03 = 8,524.14/x
  3. Step 3: Cross multiply
    25,175.76x = 37,740.03 × 8,524.14
  4. Step 4: Simplify right side
    25,175.76x = 321,701,299.32
  5. Step 5: Solve for x
    x = 321,701,299.32/25,175.76
  6. Step 6: Final answer
    x = 12,778.22

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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.