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Finding the Fourth Proportional to 17,934.54, 24,749.66 and 9,976.59

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Solution

The fourth proportional to 17,934.54, 24,749.66 and 9,976.59 is: 13,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934.54 : 24,749.66 = 9,976.59 : x
  2. Step 2: Convert to fraction form
    17,934.54/24,749.66 = 9,976.59/x
  3. Step 3: Cross multiply
    17,934.54x = 24,749.66 × 9,976.59
  4. Step 4: Simplify right side
    17,934.54x = 246,917,319.04
  5. Step 5: Solve for x
    x = 246,917,319.04/17,934.54
  6. Step 6: Final answer
    x = 13,767.70

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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.