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Finding the Fourth Proportional to 17,922.58, 24,733 and 9,964.73

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Solution

The fourth proportional to 17,922.58, 24,733 and 9,964.73 is: 13,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.58 : 24,733 = 9,964.73 : x
  2. Step 2: Convert to fraction form
    17,922.58/24,733 = 9,964.73/x
  3. Step 3: Cross multiply
    17,922.58x = 24,733 × 9,964.73
  4. Step 4: Simplify right side
    17,922.58x = 246,457,667.09
  5. Step 5: Solve for x
    x = 246,457,667.09/17,922.58
  6. Step 6: Final answer
    x = 13,751.24

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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.