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Finding the Fourth Proportional to 25,231.80, 37,847.70 and 7,701.78

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Solution

The fourth proportional to 25,231.80, 37,847.70 and 7,701.78 is: 11,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231.80 : 37,847.70 = 7,701.78 : x
  2. Step 2: Convert to fraction form
    25,231.80/37,847.70 = 7,701.78/x
  3. Step 3: Cross multiply
    25,231.80x = 37,847.70 × 7,701.78
  4. Step 4: Simplify right side
    25,231.80x = 291,494,658.91
  5. Step 5: Solve for x
    x = 291,494,658.91/25,231.80
  6. Step 6: Final answer
    x = 11,552.67

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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.