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Finding the Fourth Proportional to 24,076.56, 36,105.48 and 8,278.59

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Solution

The fourth proportional to 24,076.56, 36,105.48 and 8,278.59 is: 12,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.56 : 36,105.48 = 8,278.59 : x
  2. Step 2: Convert to fraction form
    24,076.56/36,105.48 = 8,278.59/x
  3. Step 3: Cross multiply
    24,076.56x = 36,105.48 × 8,278.59
  4. Step 4: Simplify right side
    24,076.56x = 298,902,465.67
  5. Step 5: Solve for x
    x = 298,902,465.67/24,076.56
  6. Step 6: Final answer
    x = 12,414.67

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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.