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Finding the Fourth Proportional to 24,185.54, 36,286.82 and 7,549.76

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Solution

The fourth proportional to 24,185.54, 36,286.82 and 7,549.76 is: 11,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,185.54 : 36,286.82 = 7,549.76 : x
  2. Step 2: Convert to fraction form
    24,185.54/36,286.82 = 7,549.76/x
  3. Step 3: Cross multiply
    24,185.54x = 36,286.82 × 7,549.76
  4. Step 4: Simplify right side
    24,185.54x = 273,956,562.98
  5. Step 5: Solve for x
    x = 273,956,562.98/24,185.54
  6. Step 6: Final answer
    x = 11,327.29

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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.