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Finding the Fourth Proportional to 25,180.56, 37,768.92 and 7,650.48

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Solution

The fourth proportional to 25,180.56, 37,768.92 and 7,650.48 is: 11,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,180.56 : 37,768.92 = 7,650.48 : x
  2. Step 2: Convert to fraction form
    25,180.56/37,768.92 = 7,650.48/x
  3. Step 3: Cross multiply
    25,180.56x = 37,768.92 × 7,650.48
  4. Step 4: Simplify right side
    25,180.56x = 288,950,367.08
  5. Step 5: Solve for x
    x = 288,950,367.08/25,180.56
  6. Step 6: Final answer
    x = 11,475.14

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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.