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Finding the Fourth Proportional to 17,934.78, 24,749.31 and 9,976.74

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Solution

The fourth proportional to 17,934.78, 24,749.31 and 9,976.74 is: 13,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934.78 : 24,749.31 = 9,976.74 : x
  2. Step 2: Convert to fraction form
    17,934.78/24,749.31 = 9,976.74/x
  3. Step 3: Cross multiply
    17,934.78x = 24,749.31 × 9,976.74
  4. Step 4: Simplify right side
    17,934.78x = 246,917,431.05
  5. Step 5: Solve for x
    x = 246,917,431.05/17,934.78
  6. Step 6: Final answer
    x = 13,767.52

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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.