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Finding the Fourth Proportional to 17,749.53, 24,494.00 and 9,791.74

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Solution

The fourth proportional to 17,749.53, 24,494.00 and 9,791.74 is: 13,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749.53 : 24,494.00 = 9,791.74 : x
  2. Step 2: Convert to fraction form
    17,749.53/24,494.00 = 9,791.74/x
  3. Step 3: Cross multiply
    17,749.53x = 24,494.00 × 9,791.74
  4. Step 4: Simplify right side
    17,749.53x = 239,838,723.44
  5. Step 5: Solve for x
    x = 239,838,723.44/17,749.53
  6. Step 6: Final answer
    x = 13,512.40

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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.