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Finding the Fourth Proportional to 17,934.53, 24,748.97 and 9,976.49

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Solution

The fourth proportional to 17,934.53, 24,748.97 and 9,976.49 is: 13,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934.53 : 24,748.97 = 9,976.49 : x
  2. Step 2: Convert to fraction form
    17,934.53/24,748.97 = 9,976.49/x
  3. Step 3: Cross multiply
    17,934.53x = 24,748.97 × 9,976.49
  4. Step 4: Simplify right side
    17,934.53x = 246,907,801.83
  5. Step 5: Solve for x
    x = 246,907,801.83/17,934.53
  6. Step 6: Final answer
    x = 13,767.17

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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.