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Finding the Fourth Proportional to 24,505.74, 36,729.72 and 11,847.60

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Solution

The fourth proportional to 24,505.74, 36,729.72 and 11,847.60 is: 17,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505.74 : 36,729.72 = 11,847.60 : x
  2. Step 2: Convert to fraction form
    24,505.74/36,729.72 = 11,847.60/x
  3. Step 3: Cross multiply
    24,505.74x = 36,729.72 × 11,847.60
  4. Step 4: Simplify right side
    24,505.74x = 435,159,030.67
  5. Step 5: Solve for x
    x = 435,159,030.67/24,505.74
  6. Step 6: Final answer
    x = 17,757.43

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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.