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Finding the Fourth Proportional to 25,180.76, 37,767.92 and 8,309.60

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Solution

The fourth proportional to 25,180.76, 37,767.92 and 8,309.60 is: 12,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,180.76 : 37,767.92 = 8,309.60 : x
  2. Step 2: Convert to fraction form
    25,180.76/37,767.92 = 8,309.60/x
  3. Step 3: Cross multiply
    25,180.76x = 37,767.92 × 8,309.60
  4. Step 4: Simplify right side
    25,180.76x = 313,836,308.03
  5. Step 5: Solve for x
    x = 313,836,308.03/25,180.76
  6. Step 6: Final answer
    x = 12,463.34

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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.