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Finding the Fourth Proportional to 12,529.59, 18,796.22 and 3,765.20

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Solution

The fourth proportional to 12,529.59, 18,796.22 and 3,765.20 is: 5,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.59 : 18,796.22 = 3,765.20 : x
  2. Step 2: Convert to fraction form
    12,529.59/18,796.22 = 3,765.20/x
  3. Step 3: Cross multiply
    12,529.59x = 18,796.22 × 3,765.20
  4. Step 4: Simplify right side
    12,529.59x = 70,771,414.74
  5. Step 5: Solve for x
    x = 70,771,414.74/12,529.59
  6. Step 6: Final answer
    x = 5,648.34

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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.