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Finding the Fourth Proportional to 17,749.38, 24,494.28 and 9,791.40

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Solution

The fourth proportional to 17,749.38, 24,494.28 and 9,791.40 is: 13,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749.38 : 24,494.28 = 9,791.40 : x
  2. Step 2: Convert to fraction form
    17,749.38/24,494.28 = 9,791.40/x
  3. Step 3: Cross multiply
    17,749.38x = 24,494.28 × 9,791.40
  4. Step 4: Simplify right side
    17,749.38x = 239,833,293.19
  5. Step 5: Solve for x
    x = 239,833,293.19/17,749.38
  6. Step 6: Final answer
    x = 13,512.21

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Why These Related Problems?

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