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Finding the Fourth Proportional to 17,919.81, 24,729.44 and 9,962.78

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Solution

The fourth proportional to 17,919.81, 24,729.44 and 9,962.78 is: 13,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.81 : 24,729.44 = 9,962.78 : x
  2. Step 2: Convert to fraction form
    17,919.81/24,729.44 = 9,962.78/x
  3. Step 3: Cross multiply
    17,919.81x = 24,729.44 × 9,962.78
  4. Step 4: Simplify right side
    17,919.81x = 246,373,796.78
  5. Step 5: Solve for x
    x = 246,373,796.78/17,919.81
  6. Step 6: Final answer
    x = 13,748.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.